A029357 Expansion of 1/((1-x^4)(1-x^6)(1-x^10)(1-x^11)).

1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 3, 1, 3, 1, 4, 2, 5, 2, 5, 2, 6, 3, 7, 3, 8, 4, 9, 5, 10, 5, 11, 6, 12, 7, 14, 8, 15, 9, 17, 10, 18, 11, 20, 12, 22, 14, 24, 15, 26, 17, 28, 18, 30, 20, 33, 22, 35, 24, 38, 26, 41

Offset

0,11

Links

Table of n, a(n) for n=0..66.

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

Formula

a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=0, a(6)=1, a(7)=0, a(8)=1, a(9)=0, a(10)=2, a(11)=1, a(12)=2, a(13)=0, a(14)=2, a(15)=1, a(16)=3, a(17)=1, a(18)=3, a(19)=1, a(20)=4, a(21)=2, a(22)=5, a(23)=2, a(24)=5, a(25)=2, a(26)=6, a(27)=3, a(28)=7, a(29)=3, a(30)=8, a(n)=a(n-4)+ a(n-6)+ a(n-11)-a(n-14)-a(n-15)-a(n-16)-a(n-17)+a(n-20)+a(n-25)+a(n-27)- a(n-31). - Harvey P. Dale, Mar 03 2013

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^6)(1-x^10)(1-x^11)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 3, 1, 3, 1, 4, 2, 5, 2, 5, 2, 6, 3, 7, 3, 8}, 80] (* Harvey P. Dale, Mar 03 2013 *)

Crossrefs

Sequence in context: A296030 A270144 A255980 * A118054 A322019 A077883

Adjacent sequences: A029354 A029355 A029356 * A029358 A029359 A029360

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved