A029422 - OEIS

A029422

Expansion of 1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)).

1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 1, 1, 2, 4, 3, 2, 1, 2, 3, 5, 4, 3, 3, 3, 5, 7, 5, 4, 4, 5, 6, 9, 7, 6, 6, 7, 9, 11, 9, 8, 8, 9, 11, 14, 12, 11, 11, 12, 14, 17, 15, 14, 14, 15, 17, 21, 19, 18, 18, 19, 21

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OFFSET

0,13

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1).

MATHEMATICA

CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 1, 1, 2, 4, 3, 2, 1, 2, 3, 5, 4, 3, 3, 3, 5}, 80] (* Harvey P. Dale, Mar 01 2017 *)

PROG

(Magma) m:=80; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^6)*(1-x^7)*(1-x^11)*(1-x^12)))); // Vincenzo Librandi, Mar 28 2017

CROSSREFS

Sequence in context: A078807 A208249 A329985 * A351356 A152800 A223730

Adjacent sequences: A029419 A029420 A029421 * A029423 A029424 A029425

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved