A029098 Expansion of 1/((1-x)(1-x^5)(1-x^8)(1-x^11)).

1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 9, 9, 10, 11, 12, 14, 15, 16, 18, 19, 21, 23, 24, 26, 28, 30, 33, 35, 37, 40, 42, 45, 48, 50, 54, 57, 60, 64, 67, 71, 75, 78, 83, 87, 91, 96, 100, 105, 110, 115, 121, 126

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 8 and 11. - Ilya Gutkovskiy, May 21 2017

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^8)(1-x^11)), {x, 0, 100}], x] (* or *) LinearRecurrence[ {1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 1, -1, -1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 9, 9, 10, 11, 12, 14, 15, 16, 18}, 100] (* Harvey P. Dale, May 29 2024 *)

Crossrefs

Sequence in context: A210469 A073174 A107631 * A074286 A025769 A103563

Adjacent sequences: A029095 A029096 A029097 * A029099 A029100 A029101

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved