A025905 Expansion of 1/((1-x^6)*(1-x^9)*(1-x^11)).

1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 3, 1, 2, 3, 1, 2, 3, 2, 2, 4, 1, 3, 4, 2, 3, 4, 2, 3, 5, 2, 4, 5, 3, 4, 5, 3, 4, 6, 3, 5, 6, 4, 5, 7, 4, 5, 7, 4, 6, 8, 5, 6, 8, 5, 7, 9, 5

Offset

0,19

Comments

Number of partitions of n into parts 6, 9, and 11. - Hoang Xuan Thanh, Sep 25 2025

Links

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

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

Formula

a(n) = floor((n^2+4*n+212)/1188 + (n+5)*((n+2) mod 3)/54 + ((6*n^2+2*n+7) mod 11)/11). - Hoang Xuan Thanh, Sep 25 2025

Prog

(PARI) a(n) = (n^2+4*n+212 + 22*(n+5)*((n+2)%3) + 108*((6*n^2+2*n+7)%11))\1188 \\ Hoang Xuan Thanh, Sep 25 2025

Crossrefs

Sequence in context: A306440 A350723 A379679 * A115861 A282355 A199322

Adjacent sequences: A025902 A025903 A025904 * A025906 A025907 A025908

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved