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A029096 Expansion of 1/((1-x)(1-x^5)(1-x^8)(1-x^9)). 0
1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 37, 40, 43, 46, 49, 52, 55, 58, 62, 66, 70, 74, 78, 83, 87, 91, 96, 101, 107, 112, 117, 123, 129, 135, 141, 147 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Number of partitions of n into parts 1, 5, 8 and 9. - Ilya Gutkovskiy, May 21 2017

LINKS

Table of n, a(n) for n=0..57.

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^8)(1-x^9)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16}, 60] (* Harvey P. Dale, Apr 15 2016 *)

CROSSREFS

Sequence in context: A194813 A096533 A230413 * A194820 A076872 A008906

Adjacent sequences:  A029093 A029094 A029095 * A029097 A029098 A029099

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 4 21:22 EDT 2022. Contains 357240 sequences. (Running on oeis4.)