A029132 - OEIS

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A029132

Expansion of 1/((1-x)(1-x^9)(1-x^10)(1-x^11)).

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 10, 10, 11, 12, 14, 16, 18, 19, 20, 20, 20, 21, 22, 24, 26, 29, 31, 33, 34, 35, 36, 37, 39, 41, 44, 47, 50, 52, 54, 56, 58, 60, 62, 65, 68, 72, 75

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OFFSET

0,10

LINKS

Table of n, a(n) for n=0..61.

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

FORMULA

a(0)=1, a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1, a(7)=1, a(8)=1, a(9)=2, a(10)=3, a(11)=4, a(12)=4, a(13)=4, a(14)=4, a(15)=4, a(16)=4, a(17)=4, a(18)=5, a(19)=6, a(20)=8, a(21)=9, a(22)=10, a(23)=10, a(24)=10, a(25)=10, a(26)=10, a(27)=11, a(28)=12, a(29)=14, a(30)=16, a(n)=a(n-1)+ a(n-9)- a(n-12)- a(n-19)+ a(n-22)+a(n-30)-a(n-31). - Harvey P. Dale, Dec 05 2015

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^9)(1-x^10)(1-x^11)), {x, 0, 70}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 10, 10, 11, 12, 14, 16}, 70] (* Harvey P. Dale, Dec 05 2015 *)

CROSSREFS

Sequence in context: A029135 A196933 A102678 * A195852 A122815 A316942

Adjacent sequences: A029129 A029130 A029131 * A029133 A029134 A029135

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved