Statistics

The database consists of 662107 generated sequences.

Sequences per function type

Constant

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

Variable

1 integer
0 decimal
0 periodic
1 monotonic
1 oeis
1 total

Arithmetic

4270 integer
11713 decimal
0 periodic
15775 monotonic
344 oeis
15983 total

Recursive

30393 integer
42639 decimal
2755 periodic
26593 monotonic
1486 oeis
73032 total

Divisibility

13500 integer
982 decimal
2238 periodic
5511 monotonic
829 oeis
14482 total

Power

24449 integer
44386 decimal
2209 periodic
35943 monotonic
1320 oeis
68835 total

Trigonometric

4277 integer
78136 decimal
1462 periodic
9695 monotonic
104 oeis
82413 total

Combinatoric

15107 integer
10044 decimal
355 periodic
10040 monotonic
461 oeis
25151 total

Prime

264689 integer
129700 decimal
923 periodic
73493 monotonic
1650 oeis
394389 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...

Variable

n

Arithmetic

+
-
-
*
/

Recursive

a(n-1)
a(n-2)
a(n-3)

Special

abs
floor
ceil
round

Divisibility

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

Power

^
sqrt
exp
log

Trigonometric

cos
sin
tan

Combinatoric

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

Prime

p(n)=nth prime
σ(n)=divisor sum of n
τ(n)=number of divisors of n
ϕ(n)=number of relative primes (Euler's totient)
μ(n)=Möbius function
Ω(n)=max factorization terms
λ(n)=Liouville's function
Λ(n)=Von Mangoldt's function
gpf(n)=greatest prime factor of n
lpf(n)=least prime factor of n
ζ(n)=Riemann Zeta
Z(n)=non trivial zeros of Zeta