A025831 Expansion of 1/((1-x^3)*(1-x^4)*(1-x^9)).

1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 3, 3, 2, 4, 3, 3, 5, 4, 3, 6, 5, 4, 7, 6, 5, 8, 7, 6, 9, 8, 7, 11, 9, 8, 12, 11, 9, 13, 12, 11, 15, 13, 12, 17, 15, 13, 18, 17, 15, 20, 18, 17, 22, 20, 18, 24, 22, 20, 26, 24, 22, 28

Offset

0,10

Comments

Number of partitions of n into parts 3, 4, and 9. - Hoang Xuan Thanh, Aug 23 2025

Links

Table of n, a(n) for n=0..66.

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

Formula

a(n) = floor((n^2 + 16*n + 168 + 8*(n+6)*(1-(n mod 3)))/216). - Hoang Xuan Thanh, Aug 23 2025

Prog

(PARI) a(n) = (n^2 + 16*n + 168 + 8*(n+6)*(1-n%3))\216 \\ Hoang Xuan Thanh, Aug 23 2025

Crossrefs

Sequence in context: A190770 A292149 A275676 * A184751 A355534 A296150

Adjacent sequences: A025828 A025829 A025830 * A025832 A025833 A025834

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved