Statistics

The database consists of 899757 generated sequences.

Sequences per function type

Constant

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

Variable

74 integer
0 decimal
0 periodic
51 monotonic
17 oeis
74 total

Arithmetic

6532 integer
13018 decimal
66 periodic
18469 monotonic
577 oeis
19550 total

Recursive

48767 integer
55569 decimal
4089 periodic
40143 monotonic
1931 oeis
104336 total

Divisibility

19005 integer
1001 decimal
2639 periodic
7657 monotonic
960 oeis
20006 total

Power

29274 integer
71876 decimal
2800 periodic
53204 monotonic
1241 oeis
101150 total

Trigonometric

290 integer
8381 decimal
127 periodic
1308 monotonic
37 oeis
8671 total

Combinatoric

46378 integer
15106 decimal
662 periodic
31084 monotonic
786 oeis
61484 total

Prime

458455 integer
140748 decimal
786 periodic
205150 monotonic
2959 oeis
599203 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]