A029343 - OEIS

A029343

Expansion of 1/((1-x^4)*(1-x^5)*(1-x^9)*(1-x^12)).

1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 5, 5, 5, 5, 6, 7, 7, 6, 8, 9, 9, 8, 11, 11, 11, 11, 13, 14, 14, 13, 16, 18, 17, 16, 20, 21, 21, 20, 23, 25, 26, 24, 27, 30, 30, 29, 33, 34, 35, 35, 38, 40

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OFFSET

0,10

LINKS

Table of n, a(n) for n=0..65.

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

MATHEMATICA

CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^9)(1-x^12)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 5, 5, 5, 5, 6, 7}, 100] (* Harvey P. Dale, Jul 21 2018 *)

PROG

(PARI) Vec(1/((1-x^4)*(1-x^5)*(1-x^9)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Feb 28 2020

CROSSREFS

Sequence in context: A016154 A307332 A275409 * A137992 A047654 A358477

Adjacent sequences: A029340 A029341 A029342 * A029344 A029345 A029346

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved