A029424 - OEIS

A029424

Expansion of 1/((1-x^6)(1-x^8)(1-x^9)(1-x^11)).

1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 5, 4, 5, 6, 4, 6, 6, 6, 7, 8, 6, 9, 8, 8, 9, 10, 9, 11, 11, 11, 12, 13, 12, 14, 14, 14, 15, 17, 15, 18, 18, 18, 19, 21, 19, 22, 22, 22

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OFFSET

0,18

LINKS

Table of n, a(n) for n=0..70.

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

FORMULA

a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=0, a(6)=1, a(7)=0, a(8)=1, a(9)=1, a(10)=0, a(11)=1, a(12)=1, a(13)=0, a(14)=1, a(15)=1, a(16)=1, a(17)=2, a(18)=2, a(19)=1, a(20)=2, a(21)=1, a(22)=2, a(23)=2, a(24)=3, a(25)=2, a(26)=3, a(27)=3, a(28)=3, a(29)=3, a(30)=4, a(31)=3, a(32)=4, a(33)=5, a(n)=a(n-6)+a(n-8)+a(n-9)+a(n-11)-a(n-14)-a(n-15)- 2*a(n-17)- a(n-19)- a(n-20)+a(n-23)+a(n-25)+a(n-26)+a(n-28)-a(n-34). - Harvey P. Dale, Feb 14 2016

MATHEMATICA

CoefficientList[Series[1/((1-x^6)(1-x^8)(1-x^9)(1-x^11)), {x, 0, 70}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, -1, 0, -2, 0, -1, -1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 5}, 80] (* Harvey P. Dale, Feb 14 2016 *)

CROSSREFS

Sequence in context: A355717 A024317 A024880 * A373121 A061498 A373823

Adjacent sequences: A029421 A029422 A029423 * A029425 A029426 A029427

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved