A363749 Number of compositions into sums of fifth powers.

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, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 38, 42, 47, 53, 60, 68, 77, 87, 98, 110, 123, 137, 152, 168, 185

Offset

0,33

Comments

This sequence is different from A291168.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: 1/(1 - Sum_{k>=1} x^(k^5)).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, ispower(j, 5)*v[i-j+1])); v;

Crossrefs

Cf. A006456, A023358, A363748.

Cf. A000584, A291168, A352530.

Sequence in context: A273882 A277112 A291168 * A146296 A071670 A090111

Adjacent sequences: A363746 A363747 A363748 * A363750 A363751 A363752

Keyword

nonn

Author

Seiichi Manyama, Jun 19 2023

Status

approved