Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Found 47 matches.

Sequence 2swsoopenhdij

0.6931471806, 1.3862943611, 1.7917594692, 2.0794415417, 2.302585093, 2.4849066498, 2.6390573296, 2.7725887222, 2.8903717579, 2.9957322736, 3.0910424534, 3.1780538303, 3.258096538, 3.3322045102, 3.4011973817, 3.4657359028, 3.5263605246, 3.5835189385, 3.6375861597, 3.6888794541, 3.7376696183, 3.7841896339, 3.8286413965, 3.8712010109, 3.9120230054, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)
n≥1
4 operations
Power

Sequence ij55m3mxqrxfi

-0.6931471806, -1.3862943611, -1.7917594692, -2.0794415417, -2.302585093, -2.4849066498, -2.6390573296, -2.7725887222, -2.8903717579, -2.9957322736, -3.0910424534, -3.1780538303, -3.258096538, -3.3322045102, -3.4011973817, -3.4657359028, -3.5263605246, -3.5835189385, -3.6375861597, -3.6888794541, -3.7376696183, -3.7841896339, -3.8286413965, -3.8712010109, -3.9120230054, more...

decimal, strictly-monotonic, -

a(n)=-log(2*n)
n≥1
5 operations
Power

Sequence q1dyn5f5zhuic

0.4804530139, 1.9218120557, 3.2104019956, 4.3240771253, 5.3018981105, 6.1747610582, 6.964623589, 7.6872482227, 8.3542488988, 8.9744118548, 9.5545434485, 10.1000261486, 10.6151930511, 11.1035868976, 11.568143629, 12.011325348, 12.4352185496, 12.8416079823, 13.2320330694, 13.607831627, 13.9701741754, 14.3200911855, 14.6584949429, 14.9861972669, 15.303923995, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)²
n≥1
5 operations
Power

Sequence sffqgsm4s4pzm

-1.3068528194, -0.6137056389, -0.2082405308, 0.0794415417, 0.302585093, 0.4849066498, 0.6390573296, 0.7725887222, 0.8903717579, 0.9957322736, 1.0910424534, 1.1780538303, 1.258096538, 1.3322045102, 1.4011973817, 1.4657359028, 1.5263605246, 1.5835189385, 1.6375861597, 1.6888794541, 1.7376696183, 1.7841896339, 1.8286413965, 1.8712010109, 1.9120230054, more...

decimal, strictly-monotonic, +-

a(n)=log(2*n)-2
n≥1
6 operations
Power

Sequence csnf01xlsb2rh

-0.3068528194, 0.3862943611, 0.7917594692, 1.0794415417, 1.302585093, 1.4849066498, 1.6390573296, 1.7725887222, 1.8903717579, 1.9957322736, 2.0910424534, 2.1780538303, 2.258096538, 2.3322045102, 2.4011973817, 2.4657359028, 2.5263605246, 2.5835189385, 2.6375861597, 2.6888794541, 2.7376696183, 2.7841896339, 2.8286413965, 2.8712010109, 2.9120230054, more...

decimal, strictly-monotonic, +-

a(n)=log(2*n)-1
n≥1
6 operations
Power

Sequence 13o2oiqtfb40

0.3068528194, -0.3862943611, -0.7917594692, -1.0794415417, -1.302585093, -1.4849066498, -1.6390573296, -1.7725887222, -1.8903717579, -1.9957322736, -2.0910424534, -2.1780538303, -2.258096538, -2.3322045102, -2.4011973817, -2.4657359028, -2.5263605246, -2.5835189385, -2.6375861597, -2.6888794541, -2.7376696183, -2.7841896339, -2.8286413965, -2.8712010109, -2.9120230054, more...

decimal, strictly-monotonic, +-

a(n)=1-log(2*n)
n≥1
6 operations
Power

Sequence g0fdfj3rqvjbl

0.3465735903, 0.6931471806, 0.8958797346, 1.0397207708, 1.1512925465, 1.2424533249, 1.3195286648, 1.3862943611, 1.4451858789, 1.4978661368, 1.5455212267, 1.5890269152, 1.629048269, 1.6661022551, 1.7005986908, 1.7328679514, 1.7631802623, 1.7917594692, 1.8187930799, 1.8444397271, 1.8688348091, 1.892094817, 1.9143206982, 1.9356005055, 1.9560115027, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)/2
n≥1
6 operations
Power

Sequence hkv4qfzzdbkqn

1.3068528194, 0.6137056389, 0.2082405308, -0.0794415417, -0.302585093, -0.4849066498, -0.6390573296, -0.7725887222, -0.8903717579, -0.9957322736, -1.0910424534, -1.1780538303, -1.258096538, -1.3322045102, -1.4011973817, -1.4657359028, -1.5263605246, -1.5835189385, -1.6375861597, -1.6888794541, -1.7376696183, -1.7841896339, -1.8286413965, -1.8712010109, -1.9120230054, more...

decimal, strictly-monotonic, +-

a(n)=2-log(2*n)
n≥1
6 operations
Power

Sequence qmfbfeotm1qqg

1.4426950409, 0.7213475204, 0.5581106266, 0.480898347, 0.4342944819, 0.4024296044, 0.3789231817, 0.3606737602, 0.3459762563, 0.3338082007, 0.3235154531, 0.3146579804, 0.3069276764, 0.3001016285, 0.2940141038, 0.2885390082, 0.2835784921, 0.2790553133, 0.2749075777, 0.2710850307, 0.2675463864, 0.2642573699, 0.2611892566, 0.2583177668, 0.2556222186, more...

decimal, strictly-monotonic, +

a(n)=1/log(2*n)
n≥1
6 operations
Power

Sequence atnn3ia2so4qh

1.6931471806, 2.3862943611, 2.7917594692, 3.0794415417, 3.302585093, 3.4849066498, 3.6390573296, 3.7725887222, 3.8903717579, 3.9957322736, 4.0910424534, 4.1780538303, 4.258096538, 4.3322045102, 4.4011973817, 4.4657359028, 4.5263605246, 4.5835189385, 4.6375861597, 4.6888794541, 4.7376696183, 4.7841896339, 4.8286413965, 4.8712010109, 4.9120230054, more...

decimal, strictly-monotonic, +

a(n)=1+log(2*n)
n≥1
6 operations
Power

Sequence f0sexzbv4vt5e

2.6931471806, 3.3862943611, 3.7917594692, 4.0794415417, 4.302585093, 4.4849066498, 4.6390573296, 4.7725887222, 4.8903717579, 4.9957322736, 5.0910424534, 5.1780538303, 5.258096538, 5.3322045102, 5.4011973817, 5.4657359028, 5.5263605246, 5.5835189385, 5.6375861597, 5.6888794541, 5.7376696183, 5.7841896339, 5.8286413965, 5.8712010109, 5.9120230054, more...

decimal, strictly-monotonic, +

a(n)=2+log(2*n)
n≥1
6 operations
Power

Sequence eyq2skv1rszzn

2.8853900818, 1.4426950409, 1.1162212531, 0.9617966939, 0.8685889638, 0.8048592088, 0.7578463634, 0.7213475204, 0.6919525125, 0.6676164014, 0.6470309063, 0.6293159609, 0.6138553529, 0.600203257, 0.5880282076, 0.5770780164, 0.5671569841, 0.5581106266, 0.5498151555, 0.5421700614, 0.5350927728, 0.5285147399, 0.5223785131, 0.5166355336, 0.5112444373, more...

decimal, strictly-monotonic, +

a(n)=2/log(2*n)
n≥1
6 operations
Power

Sequence f1zmrdu43gicl

0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, more...

integer, monotonic, +

a(n)=floor(log(2*n))
n≥1
5 operations
Power

Sequence i5qz0jns3v1ah

0.6931471806, 0.9609060278, 1.7217124744, 3.5802004421, 8.243716168, 20.4848651247, 54.0607334536, 149.8881798896, 433.2325619954, 1297.848767924, 4011.7056396918, 12749.416474451, 41538.8296772027, 138415.8755977745, 470779.7136636253, 1631598.1559538012, 5753603.329192008, 20618146.494523685, 75000284.32769045, 276667007.90912074, 1034089869.843285, 3913192166.0008426, 14982209519.167652, 57999144636.23564, more...

decimal, strictly-monotonic, +

a(n)=∏(log(2*n))
∏(a)=partial products of a
n≥1
5 operations
Power

Sequence 1gppijsdfsqn

0.6931471806, 2.0794415417, 3.8712010109, 5.9506425526, 8.2532276456, 10.7381342954, 13.377191625, 16.1497803472, 19.0401521051, 22.0358843787, 25.126926832, 28.3049806624, 31.5630772004, 34.8952817106, 38.2964790922, 41.762214995, 45.2885755197, 48.8720944581, 52.5096806178, 56.198560072, 59.9362296902, 63.7204193242, 67.5490607206, 71.4202617316, 75.332284737, more...

decimal, strictly-monotonic, +

a(n)=∑(log(2*n))
∑(a)=partial sums of a
n≥1
5 operations
Power

Sequence 5xv1wyuws4hbi

1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=round(log(2*n))
n≥1
5 operations
Power

Sequence otcxasbvfzyqo

1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=ceil(log(2*n))
n≥1
5 operations
Power

Sequence vtj4fl2rvpwsn

-0.3068528194, -0.6137056389, -1.2082405308, -1.9205584583, -2.697414907, -3.5150933502, -4.3609426704, -5.2274112778, -6.1096282421, -7.0042677264, -7.9089575466, -8.8219461697, -9.741903462, -10.6677954898, -11.5988026183, -12.5342640972, -13.4736394754, -14.4164810615, -15.3624138403, -16.3111205459, -17.2623303817, -18.2158103661, -19.1713586035, -20.1287989891, -21.0879769946, more...

decimal, strictly-monotonic, -

a(n)=log(2*n)-n
n≥1
6 operations
Power

Sequence zpjcm5aseesvb

0.3068528194, 0.6137056389, 1.2082405308, 1.9205584583, 2.697414907, 3.5150933502, 4.3609426704, 5.2274112778, 6.1096282421, 7.0042677264, 7.9089575466, 8.8219461697, 9.741903462, 10.6677954898, 11.5988026183, 12.5342640972, 13.4736394754, 14.4164810615, 15.3624138403, 16.3111205459, 17.2623303817, 18.2158103661, 19.1713586035, 20.1287989891, 21.0879769946, more...

decimal, strictly-monotonic, +

a(n)=n-log(2*n)
n≥1
6 operations
Power

Sequence frp2sqz5cq2pj

0.6931471806, 0.6931471806, 0.5972531564, 0.5198603854, 0.4605170186, 0.4141511083, 0.3770081899, 0.3465735903, 0.3211524175, 0.2995732274, 0.2810038594, 0.2648378192, 0.2506228106, 0.2380146079, 0.2267464921, 0.2166084939, 0.207432972, 0.1990843855, 0.1914519031, 0.1844439727, 0.1779842675, 0.1720086197, 0.1664626694, 0.1613000421, 0.1564809202, more...

decimal, monotonic, +

a(n)=log(2*n)/n
n≥1
6 operations
Power

Sequence y4vlqryzpq0zo

0.6931471806, 2.7725887222, 5.3752784077, 8.3177661667, 11.512925465, 14.9094398987, 18.4734013073, 22.1807097779, 26.0133458211, 29.9573227355, 34.0014669869, 38.1366459642, 42.3552549943, 46.6508631425, 51.0179607249, 55.4517744448, 59.9481289185, 64.5033408922, 69.1141370348, 73.7775890823, 78.491061984, 83.2521719462, 88.0587521192, 92.9088242618, 97.8005751357, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)*n
n≥1
6 operations
Power

Sequence espsloaw3idld

1.4426950409, 1.4426950409, 1.6743318797, 1.9235933879, 2.1714724095, 2.4145776263, 2.6524622718, 2.8853900818, 3.1137863064, 3.338082007, 3.5586699846, 3.7758957653, 3.9900597936, 4.201422799, 4.4102115569, 4.6166241308, 4.8208343649, 5.022995639, 5.2232439771, 5.4217006136, 5.6184741148, 5.8136621386, 6.007352901, 6.1996264034, 6.3905554659, more...

decimal, monotonic, +

a(n)=n/log(2*n)
n≥1
6 operations
Power

Sequence ul2w00wh4acyo

1.6931471806, 3.3862943611, 4.7917594692, 6.0794415417, 7.302585093, 8.4849066498, 9.6390573296, 10.7725887222, 11.8903717579, 12.9957322736, 14.0910424534, 15.1780538303, 16.258096538, 17.3322045102, 18.4011973817, 19.4657359028, 20.5263605246, 21.5835189385, 22.6375861597, 23.6888794541, 24.7376696183, 25.7841896339, 26.8286413965, 27.8712010109, 28.9120230054, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)+n
n≥1
6 operations
Power

Sequence y3mrehz3r43hc

-0.3665129206, 0.32663426, 0.5831980808, 0.7320993681, 0.8340324452, 0.9102350934, 0.9704217813, 1.0197814405, 1.0613851298, 1.0971887004, 1.1285083976, 1.1562690064, 1.1811431408, 1.2036341, 1.2241275407, 1.2429249919, 1.2602663262, 1.2763452613, 1.2913203187, 1.305322741, 1.3184623205, 1.3308317646, 1.3425100135, 1.3535647976, 1.3640546329, more...

decimal, strictly-monotonic, +-

a(n)=log(log(2*n))
n≥1
5 operations
Power

Sequence xb32ck5yhz4sm

0.8325546112, 1.1774100225, 1.338566199, 1.4420268866, 1.5174271294, 1.5763586679, 1.6245175683, 1.6651092223, 1.700109337, 1.7308183826, 1.7581360736, 1.7827096876, 1.8050198165, 1.8254326912, 1.8442335486, 1.8616487055, 1.8778606244, 1.8930184728, 1.9072456999, 1.9206455826, 1.9333053608, 1.9452993687, 1.9566914413, 1.9675367877, 1.9778834661, more...

decimal, strictly-monotonic, +

a(n)=sqrt(log(2*n))
n≥1
5 operations
Power

Sequence iuzkd4embbwhh

1.6168066722, 2.6140638154, 3.4623689566, 4.2264358184, 4.9334096679, 5.5979812308, 6.2292450605, 6.833329631, 7.4146148687, 7.976369668, 8.5211163695, 9.0508534051, 9.5671985424, 10.0714849768, 10.5648280514, 11.048172941, 11.5223295796, 11.9879987918, 12.4457922097, 12.8962476995, 13.3398414856, 13.7769978011, 14.2080966588, 14.6334801749, 15.053457763, more...

decimal, strictly-monotonic, +

a(n)=2^log(2*n)
n≥1
6 operations
Power

Sequence fhkqdyftvhvkb

0.6931471806, 1.9218120557, 5.7522681756, 18.6976429852, 64.7259515035, 235.4292774276, 891.5419296916, 3492.0754536685, 14079.3739960396, 58214.3404963845, 246124.3987758913, 1061536.6401657856, 4661560.5430417545, 20808609.979537524, 94292584.81486152, 433238901.61112505, 2016295080.8161929, 9496742710.378119, 45232697399.53035, more...

decimal, strictly-monotonic, +

a(n)=log(2*n)^n
n≥1
6 operations
Power

Sequence yaf03kwch5mlg

-1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, monotonic, +-

a(n)=floor(log(log(2*n)))
n≥1
6 operations
Power

Sequence l55ovhvek5ncg

0, 0, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, more...

decimal, monotonic, +

a(n)=log(floor(log(2*n)))
n≥2
6 operations
Power

Sequence ena1qtmf5xlco

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=floor(sqrt(log(2*n)))
n≥1
6 operations
Power

Sequence vav0txkjtj4ac

0, 1, 1, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, more...

decimal, monotonic, +

a(n)=sqrt(floor(log(2*n)))
n≥1
6 operations
Power

Sequence e0vfs3cttryw

1, 2.7182818285, 2.7182818285, 7.3890560989, 7.3890560989, 7.3890560989, 7.3890560989, 7.3890560989, 7.3890560989, 7.3890560989, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, 20.0855369232, more...

decimal, monotonic, +

a(n)=exp(floor(log(2*n)))
n≥1
6 operations
Power

Sequence yllopuwpdasso

-1.1189142051, -0.5392283891, -0.3118390255, -0.1814829742, -0.0940523685, -0.0300244759, 0.0195883304, 0.0595747813, 0.0927511814, 0.1208967586, 0.1451984477, 0.1664827329, 0.1853453971, 0.2022283786, 0.2174674663, 0.2313230687, 0.2440007293, 0.2556651979, 0.2664503213, 0.2764661489, 0.2858041337, 0.2945410062, 0.3027417031, 0.3104616121, 0.317748315, more...

decimal, strictly-monotonic, +-

a(n)=log(log(log(2*n)))
n≥2
6 operations
Power

Sequence kajbprbl5v5jc

-0.1832564603, 0.16331713, 0.2915990404, 0.366049684, 0.4170162226, 0.4551175467, 0.4852108906, 0.5098907203, 0.5306925649, 0.5485943502, 0.5642541988, 0.5781345032, 0.5905715704, 0.60181705, 0.6120637704, 0.6214624959, 0.6301331631, 0.6381726307, 0.6456601594, 0.6526613705, 0.6592311603, 0.6654158823, 0.6712550067, 0.6767823988, 0.6820273164, more...

decimal, strictly-monotonic, +-

a(n)=log(sqrt(log(2*n)))
n≥1
6 operations
Power

Sequence drmh3wfpuor2l

0.571519256, 0.7636740671, 0.8556280548, 0.9132537683, 0.9540624159, 0.9850998839, 1.009842285, 1.030235473, 1.0474677562, 1.0623127588, 1.0752994961, 1.086804095, 1.0971025932, 1.1064029739, 1.1148654591, 1.1226158409, 1.1297545138, 1.1363627584, 1.142507217, 1.1482431452, 1.1536168188, 1.1586673438, 1.1634280372, 1.1679274947, 1.172190426, more...

decimal, strictly-monotonic, +

a(n)=sqrt(log(log(2*n)))
n≥2
6 operations
Power

Sequence rlm1tcz5d310j

0.9124443058, 1.0850852605, 1.1569642168, 1.2008442391, 1.2318389219, 1.2555312294, 1.2745656391, 1.2903911121, 1.3038824092, 1.3156057094, 1.3259472364, 1.3351815186, 1.3435102592, 1.3510857453, 1.3580256067, 1.3644224806, 1.370350548, 1.3758700785, 1.3810306658, 1.385873581, 1.3904335154, 1.3947398929, 1.3988178728, 1.4026891272, 1.4063724493, more...

decimal, strictly-monotonic, +

a(n)=sqrt(sqrt(log(2*n)))
n≥1
6 operations
Power

Sequence o3l2rwm22y1op

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +, A287091

a(n)=pt(floor(log(2*n)))
pt(n)=Pascals triangle by rows
n≥1
6 operations
Combinatoric

Sequence yd51cjhsae2ec

1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=P(floor(log(2*n)))
P(n)=Partition numbers
n≥1
6 operations
Combinatoric

Sequence jkjngehvlpy5n

1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, more...

integer, monotonic, +

a(n)=floor(log(2*n))!
n≥1
6 operations
Combinatoric

Sequence ybikioyjo5a5d

2.2991847674, 3.2459563527, 3.8135716808, 4.2292593645, 4.5604765716, 4.8373094523, 5.0759696376, 5.2862505948, 5.4745459297, 5.6452720109, 5.8016135296, 5.9459462665, 6.0800919336, 6.2054794948, 6.3232514675, 6.4343363572, 6.5394994405, 6.639379251, 6.7345143568, 6.8253633834, 6.9123202359, 6.995725843, 7.0758773387, 7.1530353256, 7.2274296853, more...

decimal, strictly-monotonic, +

a(n)=exp(sqrt(log(2*n)))
n≥1
6 operations
Power

Sequence sdw1s21whrc0b

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +, A211665

a(n)=floor(sqrt(1+sqrt(n)))
n≥0
6 operations
Power
a(n)=round(sqrt(log(n)))!
n≥1
5 operations
Combinatoric
a(n)=ϕ(floor(log(2*n)))
ϕ(n)=number of relative primes (Euler's totient)
n≥2
6 operations
Prime

Sequence 5krgf3jteu3xe

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=Ω(floor(log(2*n)))
Ω(n)=max factorization terms
n≥2
6 operations
Prime

Sequence xx1socgj3pddi

1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +-

a(n)=μ(floor(log(2*n)))
μ(n)=Möbius function
n≥2
6 operations
Prime

Sequence m0fdhsqtlzbvj

1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

integer, monotonic, +, A211661

a(n)=τ(floor(log(2*n)))
τ(n)=number of divisors of n
n≥2
6 operations
Prime

Sequence bjww2mecrzrug

1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, non-monotonic, +

a(n)=gpf(floor(log(2*n)))
gpf(n)=greatest prime factor of n
n≥2
6 operations
Prime

Sequence loxi5inetr4rh

1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, more...

integer, monotonic, +

a(n)=σ(floor(log(2*n)))
σ(n)=divisor sum of n
n≥2
6 operations
Prime

Sequence tawtbr0msfvvh

2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, more...

integer, monotonic, +

a(n)=p(floor(log(2*n)))
p(n)=nth prime
n≥2
6 operations
Prime