A025925 Expansion of 1/((1-x^9)*(1-x^11)*(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 3, 1, 2, 2, 1, 1, 2, 1, 2, 3, 2, 3, 3, 2, 2, 3, 1, 2, 3, 2, 3, 4, 3, 3, 4, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3

Offset

0,34

Comments

Number of partitions of n into parts 9, 11, and 12. - Hoang Xuan Thanh, Sep 29 2025

Links

Table of n, a(n) for n=0..79.

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

Formula

a(n) = a(n-9) + a(n-11) + a(n-12) - a(n-20) - a(n-21) - a(n-23) + a(n-32). - R. J. Mathar, Jul 19 2014

a(n) = floor((n+5)^2/2376 + (n+23)*((n+2) mod 3)/108 + ((3*n^2+8*n+9) mod 11)/11). - Hoang Xuan Thanh, Sep 29 2025

Prog

(PARI) Vec(1/((1-x^9)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Hoang Xuan Thanh, Sep 29 2025

Crossrefs

Sequence in context: A137412 A355913 A373605 * A372510 A240857 A374318

Adjacent sequences: A025922 A025923 A025924 * A025926 A025927 A025928

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved