A025794 Expansion of 1/((1-x)*(1-x^11)*(1-x^12)).

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 15, 16, 17, 18, 19, 20, 21, 21, 21, 21, 21, 21

Offset

0,12

Comments

Number of partitions of n into parts 1, 11, and 12. - Hoang Xuan Thanh, Aug 19 2025

Links

Table of n, a(n) for n=0..65.

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

Formula

a(n) = (n^2 + 24*n + 12*(2+(n mod 11))*(11-(n mod 11)) - 11*(n mod 12)*(12-(n mod 12)))/264. - Hoang Xuan Thanh, Aug 19 2025

Mathematica

CoefficientList[Series[1/((1-x)(1-x^11)(1-x^12)), {x, 0, 70}], x] (* Harvey P. Dale, Feb 24 2012 *)

Prog

(PARI) Vec( 1/((1-x)*(1-x^11)*(1-x^12)) + O(x^65) ) \\ Hoang Xuan Thanh, Aug 19 2025

Crossrefs

Sequence in context: A065681 A121242 A185436 * A354760 A025793 A102680

Adjacent sequences: A025791 A025792 A025793 * A025795 A025796 A025797

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved