A029076 Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^11)).

1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 6, 7, 7, 8, 10, 11, 11, 13, 15, 16, 17, 20, 22, 23, 25, 28, 30, 32, 35, 38, 40, 43, 47, 50, 53, 57, 61, 64, 68, 73, 77, 81, 86, 92, 96, 101, 107, 113, 118, 124, 131, 137, 143, 150, 158

Offset

0,5

Comments

Number of partitions of n into parts 1, 4, 7 and 11. - Ilya Gutkovskiy, May 18 2017

Links

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

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^11)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 6, 7, 7, 8, 10, 11, 11, 13, 15, 16, 17, 20}, 80] (* Harvey P. Dale, Sep 13 2018 *)

Crossrefs

Sequence in context: A128331 A084827 A251631 * A259774 A036015 A130521

Adjacent sequences: A029073 A029074 A029075 * A029077 A029078 A029079

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved