A025860 Expansion of 1/((1-x^4)*(1-x^5)*(1-x^8)).

1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 2, 1, 4, 3, 2, 2, 5, 4, 3, 2, 6, 5, 4, 3, 7, 6, 5, 4, 8, 7, 6, 5, 10, 8, 7, 6, 11, 10, 8, 7, 13, 11, 10, 8, 14, 13, 11, 10, 16, 14, 13, 11, 18, 16, 14, 13, 20, 18, 16, 14, 22, 20

Offset

0,9

Comments

Number of partitions of n into parts 4, 5, and 8. - Hoang Xuan Thanh, Sep 09 2025

Links

Table of n, a(n) for n=0..69.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,1,0,0,1,-1,0,0,-1,-1,0,0,0,1).

Formula

a(n) = floor((n^2 + 32*n + 320 - 10*(n+8)*(n mod 4))/320). - Hoang Xuan Thanh, Sep 09 2025

Prog

(PARI) a(n) = (n^2 + 32*n + 320 - 10*(n+8)*(n%4))\320 \\ Hoang Xuan Thanh, Sep 09 2025

Crossrefs

Sequence in context: A060450 A180918 A152146 * A322285 A152487 A356894

Adjacent sequences: A025857 A025858 A025859 * A025861 A025862 A025863

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved