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A029052 Expansion of 1/((1-x)(1-x^3)(1-x^7)(1-x^11)). 0
1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 17, 18, 20, 23, 25, 27, 30, 33, 35, 38, 42, 45, 48, 52, 56, 60, 64, 69, 74, 78, 83, 89, 94, 99, 106, 112, 118, 125, 132, 139, 146, 154, 162, 170, 178, 187, 196 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Number of partitions of n into parts 1, 3, 7, and 11. - Joerg Arndt, May 19 2014

LINKS

Table of n, a(n) for n=0..54.

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^7)(1-x^11)), {x, 0, 90}], x] (* Jinyuan Wang, Mar 24 2020 *)

PROG

(PARI) a(n)=floor((n^3+33*n^2+318*n+1494)/1386+[2, 1, -1, 0, 1, -1, -2][n%7+1]/7) \\ Tani Akinari, May 18 2014

(PARI) Vec(1/((1-x)*(1-x^3)*(1-x^7)*(1-x^11))+O(x^100)) \\ Michel Marcus, May 19 2014

CROSSREFS

Sequence in context: A132968 A132967 A029075 * A131795 A035382 A094988

Adjacent sequences:  A029049 A029050 A029051 * A029053 A029054 A029055

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 3 02:32 EDT 2021. Contains 346430 sequences. (Running on oeis4.)