A025907 - OEIS

A025907

Expansion of 1/((1-x^6)*(1-x^11)*(1-x^12)).

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

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OFFSET

0,13

COMMENTS

Number of partitions of n into parts 6, 11, and 12. - 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 (0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,1).

FORMULA

a(n) = floor((n^2-26*n-126)/1584 + (n+9)*((n+5) mod 6)/72 + ((10*n^2+4*n+5) mod11)/11). - Hoang Xuan Thanh, Sep 25 2025

PROG

(PARI) a(n) = (n^2-26*n-126 + 22*(n+9)*((n+5)%6) + 144*((10*n^2+4*n+5)%11))\1584 \\ Hoang Xuan Thanh, Sep 25 2025

CROSSREFS

Sequence in context: A271719 A374088 A339088 * A024157 A331919 A332005

Adjacent sequences: A025904 A025905 A025906 * A025908 A025909 A025910

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved