A029247 - OEIS

A029247

Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^9)).

1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 2, 2, 4, 4, 4, 5, 5, 6, 8, 7, 8, 10, 10, 11, 13, 13, 14, 17, 17, 18, 21, 21, 23, 26, 26, 28, 32, 32, 34, 38, 39, 41, 45, 46, 49, 54, 54, 57, 63, 64, 67, 72, 74, 78, 84, 85, 89, 96, 98, 102, 109

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OFFSET

0,9

COMMENTS

Number of partitions of n into parts 3, 4, 5, and 9. - Vincenzo Librandi, Jun 03 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

MATHEMATICA

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^5) (1 - x^9)), {x, 0, 60}], x] (* Harvey P. Dale, Jul 11 2011 *)

PROG

(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

CROSSREFS

Sequence in context: A317638 A002307 A287707 * A194020 A372053 A372048

Adjacent sequences: A029244 A029245 A029246 * A029248 A029249 A029250

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved