A025856 - OEIS

A025856

Expansion of 1/((1-x^3)*(1-x^10)*(1-x^11)).

1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12

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OFFSET

0,21

COMMENTS

Number of partitions of n into parts 3, 10, and 11. - Hoang Xuan Thanh, Sep 08 2025

LINKS

Table of n, a(n) for n=0..76.

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

FORMULA

a(n) = floor((n^2 + 24*n + 330)/660 + ((2*n^2+4*n+7) mod 11)/11 + (((n+2) mod 10) - ((n+1) mod 10))/55). - Hoang Xuan Thanh, Sep 08 2025

PROG

(PARI) a(n) = (n^2+24*n+327 + 60*((2*n^2+4*n+7)%11) + 12*(((n+2)%10)-((n+1)%10)))\660 \\ Hoang Xuan Thanh, Sep 08 2025

CROSSREFS

Sequence in context: A102684 A337637 A156821 * A390844 A350765 A103378

Adjacent sequences: A025853 A025854 A025855 * A025857 A025858 A025859

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved