A025906 - OEIS

A025906

Expansion of 1/((1-x^6)*(1-x^10)*(1-x^11)).

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

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OFFSET

0,23

COMMENTS

Number of partitions of n into parts 6, 10, 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 (0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,-1,-1,0,0,0,-1,0,0,0,0,0,1).

FORMULA

a(n) = floor((n+9)*(n+18)/1320 + (n+10)*(-1)^n/120 + ((n^2+5*n+9) mod 11)/11). - Hoang Xuan Thanh, Sep 25 2025

MATHEMATICA

CoefficientList[Series[1/((1-x^6)(1-x^10)(1-x^11)), {x, 0, 80}], x] (* Harvey P. Dale, Mar 29 2013 *)

PROG

(PARI) a(n) = (n^2+27*n+162 + 11*(n+10)*(-1)^n + 120*((n^2+5*n+9)%11))\1320 \\ Hoang Xuan Thanh, Sep 25 2025

CROSSREFS

Sequence in context: A268533 A392609 A275849 * A213369 A020944 A287729

Adjacent sequences: A025903 A025904 A025905 * A025907 A025908 A025909

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved