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A029057 Expansion of 1/((1-x)(1-x^3)(1-x^8)(1-x^12)). 0
1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 11, 12, 13, 15, 16, 18, 20, 21, 23, 27, 28, 30, 34, 36, 38, 42, 44, 48, 52, 54, 58, 64, 66, 70, 76, 80, 84, 90, 94, 100, 106, 110, 116, 125, 129, 135, 144, 150, 156, 165, 171 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Number of partitions of n into parts 1, 3, 8, and 12. - Joerg Arndt, May 22 2014

LINKS

Table of n, a(n) for n=0..55.

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,0,0,0,1,-1,0,-1,2,-1,0,-1,1,0,0,0,-1,1,0,1,-1).

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^8)(1-x^12)), {x, 0, 90}], x] (* Jinyuan Wang, Mar 24 2020 *)

PROG

(PARI) a(n)=round((n+12)*(2*n^2+48*n+179+9*(-1)^n)/3456+[2*(n\2)+12, 1][n%2+1]*(-1)^(n\2)/96-[-2, 1, 1][n%3+1]*(n\3+1)/36) \\ Tani Akinari, May 22 2014

CROSSREFS

Sequence in context: A053251 A090184 A174575 * A087897 A029056 A226503

Adjacent sequences:  A029054 A029055 A029056 * A029058 A029059 A029060

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 14 01:49 EDT 2021. Contains 342941 sequences. (Running on oeis4.)