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A029302 Expansion of 1/((1-x^3)(1-x^6)(1-x^9)(1-x^11)). 0
1, 0, 0, 1, 0, 0, 2, 0, 0, 3, 0, 1, 4, 0, 1, 5, 0, 2, 7, 0, 3, 8, 1, 4, 10, 1, 5, 12, 2, 7, 14, 3, 8, 17, 4, 10, 20, 5, 12, 23, 7, 14, 27, 8, 17, 31, 10, 20, 35, 12, 23, 40, 14, 27, 45, 17, 31, 50, 20, 35, 56, 23, 40, 62, 27, 45 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

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

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

FORMULA

a(0)=1, a(1)=0, a(2)=0, a(3)=1, a(4)=0, a(5)=0, a(6)=2, a(7)=0, a(8)=0, a(9)=3, a(10)=0, a(11)=1, a(12)=4, a(13)=0, a(14)=1, a(15)=5, a(16)=0, a(17)=2, a(18)=7, a(19)=0, a(20)=3, a(21)=8, a(22)=1, a(23)=4, a(24)=10, a(25)=1, a(26)=5, a(27)=12, a(28)=2, a(n)=a(n-3)+a(n-6)+a(n-11)- a(n-12)-a(n-14)- a(n-15)-a(n-17)+a(n-18)+a(n-23)+a(n-26)-a(n-29). - Harvey P. Dale, Oct 20 2014

MATHEMATICA

CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^9)(1-x^11)), {x, 0, 70}], x] (* or *) LinearRecurrence[{0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 0, 2, 0, 0, 3, 0, 1, 4, 0, 1, 5, 0, 2, 7, 0, 3, 8, 1, 4, 10, 1, 5, 12, 2}, 70] (* Harvey P. Dale, Oct 20 2014 *)

CROSSREFS

Sequence in context: A321414 A268865 A024159 * A263415 A321459 A143517

Adjacent sequences:  A029299 A029300 A029301 * A029303 A029304 A029305

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)