Statistics

The database consists of 951925 generated sequences.

Sequences per function type

Constant

99 integer
1 decimal
0 periodic
100 monotonic
33 oeis
100 total

Variable

133 integer
0 decimal
0 periodic
91 monotonic
20 oeis
133 total

Arithmetic

6672 integer
13050 decimal
66 periodic
18649 monotonic
572 oeis
19722 total

Recursive

54080 integer
57750 decimal
4126 periodic
45610 monotonic
2129 oeis
111830 total

Divisibility

21262 integer
1001 decimal
2900 periodic
8572 monotonic
1099 oeis
22263 total

Power

30961 integer
76687 decimal
2894 periodic
58322 monotonic
1340 oeis
107648 total

Trigonometric

375 integer
8861 decimal
140 periodic
1377 monotonic
45 oeis
9236 total

Combinatoric

53503 integer
16873 decimal
758 periodic
35803 monotonic
1035 oeis
70376 total

Prime

485491 integer
146961 decimal
1037 periodic
215694 monotonic
3412 oeis
632452 total

Operators & functions

Sequences are generated from combinations the following operators and functions

Constant

1
2
3
4
5
6
7
8
9
10
π=3.141... alias[pi]

Variable

n

Arithmetic

+
- alias[neg]
-
*
² alias[sqr]
/

Recursive

a(n-1) alias[r1]
a(n-2) alias[r2]
a(n-3) alias[r3]
stern(n)=Stern-Brocot sequence

Special

abs
floor
ceil
round
cf(a)=characteristic function of a (in range) alias[characteristic]
comp(a)=complement function of a (in range) alias[complement]
∑(a)=partial sums of a alias[sum]
Δ(a)=differences of a alias[diff, delta]
∏(a)=partial products of a alias[prod, product]

Divisibility

%
gcd(a,b)=greatest common divisor
lcm(a,b)=least common multiple

Power

sqrt
^
exp
log alias[ln]

Trigonometric

cos
sin
tan

Combinatoric

!
C(n,k)=binomial coefficient alias[binomial]
P(n)=Partition numbers alias[partition]
catalan
pt(n)=Pascals triangle by rows

Prime

p(n)=nth prime alias[prime]
composite(n)=nth composite number alias[NonPrime]
τ(n)=number of divisors of n alias[sigma_0, sigma, tau, DivisorNum]
σ(n)=divisor sum of n alias[sigma_1, DivisorSum]
ϕ(n)=number of relative primes (Euler's totient) alias[phi, EulerPhi, NumRelPrimes]
Ω(n)=max factorization terms alias[Omega, bigomega, MaxFactorizationTerms]
μ(n)=Möbius function alias[mu, MobiusMu]
λ(n)=Liouville's function alias[Liouville]
Λ(n)=Von Mangoldt's function alias[Mangoldt, lambda]
gpf(n)=greatest prime factor of n alias[gpf]
lpf(n)=least prime factor of n alias[lpf]
agc(n)=number of factorizations into prime powers (abelian group count)
ζ(n)=Riemann Zeta alias[Zeta]
Z(n)=non trivial zeros of Zeta alias[ZetaZero]