Sequences

392,541 sequences

Cyclotomic polynomials at x=-12.A020511
Cyclotomic polynomials at x=-12.
Cyclotomic polynomials at x=-13.A020512
Cyclotomic polynomials at x=-13.
Cyclotomic polynomials evaluated at x=-1.A020513
Cyclotomic polynomials evaluated at x=-1.
a(n) = 1^n + 2^n + 4^n + 8^n + 16^n.A020514
a(n) = 1^n + 2^n + 4^n + 8^n + 16^n.
a(n) = 4^n - 2^n + 1.A020515
a(n) = 4^n - 2^n + 1.
Sum of n-th powers of divisors of 64.A020516
Sum of n-th powers of divisors of 64.
9th cyclotomic polynomial evaluated at powers of 2.A020517
9th cyclotomic polynomial evaluated at powers of 2.
10th cyclotomic polynomial evaluated at powers of 2.A020518
10th cyclotomic polynomial evaluated at powers of 2.
11th cyclotomic polynomial evaluated at powers of 2.A020519
11th cyclotomic polynomial evaluated at powers of 2.
12th cyclotomic polynomial evaluated at powers of 2.A020520
12th cyclotomic polynomial evaluated at powers of 2.
13th cyclotomic polynomial evaluated at powers of 2.A020521
13th cyclotomic polynomial evaluated at powers of 2.
a(n) = 4^n - 2^n.A020522
a(n) = 4^n - 2^n.
a(n) = 3rd Euler polynomial evaluated at 2^n and multiplied by 4.A020523
a(n) = 3rd Euler polynomial evaluated at 2^n and multiplied by 4.
a(n) = 4th Euler polynomial evaluated at 2^n.A020524
a(n) = 4th Euler polynomial evaluated at 2^n.
a(n) = 5th Euler polynomial evaluated at 2^n and multiplied by 2.A020525
a(n) = 5th Euler polynomial evaluated at 2^n and multiplied by 2.
a(n) = 6th Euler polynomial evaluated at 2^n.A020526
a(n) = 6th Euler polynomial evaluated at 2^n.
2nd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).A020527
2nd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).
3rd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).A020528
3rd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).
4th Bernoulli polynomial evaluated at powers of 2 (multiplied by 30).A020529
4th Bernoulli polynomial evaluated at powers of 2 (multiplied by 30).
a(n) = 8^n + 2^(n+1).A020530
a(n) = 8^n + 2^(n+1).
a(n) = 5th Fibonacci polynomial evaluated at 2^n.A020531
a(n) = 5th Fibonacci polynomial evaluated at 2^n.
a(n) = 6th Fibonacci polynomial evaluated at 2^n.A020532
a(n) = 6th Fibonacci polynomial evaluated at 2^n.
a(n) = 7th Fibonacci polynomial evaluated at 2^n.A020533
a(n) = 7th Fibonacci polynomial evaluated at 2^n.
a(n) = 8th Fibonacci polynomial evaluated at 2^n.A020534
a(n) = 8th Fibonacci polynomial evaluated at 2^n.
a(n) = 9th Fibonacci polynomial evaluated at 2^n.A020535
a(n) = 9th Fibonacci polynomial evaluated at 2^n.
a(n) = 10th Fibonacci polynomial evaluated at 2^n.A020536
a(n) = 10th Fibonacci polynomial evaluated at 2^n.
a(n) = 4*8^n - 3*2^n.A020537
a(n) = 4*8^n - 3*2^n.
a(n) = 4th Chebyshev polynomial (first kind) evaluated at 2^n.A020538
a(n) = 4th Chebyshev polynomial (first kind) evaluated at 2^n.
a(n) = 5th Chebyshev polynomial (first kind) evaluated at 2^n.A020539
a(n) = 5th Chebyshev polynomial (first kind) evaluated at 2^n.
a(n) = 8^(n+1) - 2^(n+2).A020540
a(n) = 8^(n+1) - 2^(n+2).
a(n) = 4th Chebyshev polynomial (second kind) evaluated at 2^n.A020541
a(n) = 4th Chebyshev polynomial (second kind) evaluated at 2^n.
a(n) = 5th Chebyshev polynomial (second kind) evaluated at 2^n.A020542
a(n) = 5th Chebyshev polynomial (second kind) evaluated at 2^n.
a(0) = 1, a(1) = 1, a(n+1) = (n+1)*a(n) + n.A020543
a(0) = 1, a(1) = 1, a(n+1) = (n+1)*a(n) + n.
Second Bernoulli polynomial evaluated at x=n! (multiplied by 6).A020544
Second Bernoulli polynomial evaluated at x=n! (multiplied by 6).
3rd Bernoulli polynomial evaluated at x=n!.A020545
3rd Bernoulli polynomial evaluated at x=n!.
4th Bernoulli polynomial evaluated at x=n! (multiplied by 30).A020546
4th Bernoulli polynomial evaluated at x=n! (multiplied by 30).
2nd Euler polynomial x^2 - x evaluated at x=n!.A020547
2nd Euler polynomial x^2 - x evaluated at x=n!.
3rd Euler polynomial evaluated at x=n! (multiplied by 4).A020548
3rd Euler polynomial evaluated at x=n! (multiplied by 4).
a(n) = (n!)^2 + 1.A020549
a(n) = (n!)^2 + 1.
4th Fibonacci polynomial evaluated at x=n!.A020550
4th Fibonacci polynomial evaluated at x=n!.
5th Fibonacci polynomial evaluated at x = n!.A020551
5th Fibonacci polynomial evaluated at x = n!.
6th Fibonacci polynomial evaluated at x=n!.A020552
6th Fibonacci polynomial evaluated at x=n!.
7th Fibonacci polynomial evaluated at x=n!.A020553
7th Fibonacci polynomial evaluated at x=n!.
Number of multigraphs on n labeled edges (without loops).A020554
Number of multigraphs on n labeled edges (without loops).
Number of multigraphs on n labeled edges (with loops). Also number of genetically distinct states amongst n individuals.A020555
Number of multigraphs on n labeled edges (with loops). Also number of genetically distinct states amongst n individuals.
Number of oriented multigraphs on n labeled arcs (without loops).A020556
Number of oriented multigraphs on n labeled arcs (without loops).
Number of oriented multigraphs on n labeled arcs (with loops).A020557
Number of oriented multigraphs on n labeled arcs (with loops).
Number of ordered multigraphs on n labeled edges (without loops).A020558
Number of ordered multigraphs on n labeled edges (without loops).
Number of ordered multigraphs on n labeled edges (with loops).A020559
Number of ordered multigraphs on n labeled edges (with loops).
Number of ordered oriented multigraphs on n labeled arcs (without loops).A020560
Number of ordered oriented multigraphs on n labeled arcs (without loops).