A029171 Expansion of 1/((1-x^2)(1-x^4)(1-x^5)(1-x^6)).

1, 0, 1, 0, 2, 1, 3, 1, 4, 2, 6, 3, 8, 4, 10, 6, 13, 8, 16, 10, 20, 13, 24, 16, 29, 20, 34, 24, 40, 29, 47, 34, 54, 40, 62, 47, 71, 54, 80, 62, 91, 71, 102, 80, 114, 91, 127, 102, 141, 114, 156, 127, 172, 141, 189, 156

Offset

0,5

Links

Table of n, a(n) for n=0..55.

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

Formula

a(0)=1, a(1)=0, a(2)=1, a(3)=0, a(4)=2, a(5)=1, a(6)=3, a(7)=1, a(8)=4, a(9)=2, a(10)=6, a(11)=3, a(12)=8, a(13)=4, a(14)=10, a(15)=6, a(16)=13, a(n) = a(n-2) + a(n-4) + a(n-5) - a(n-7) - a(n-8) - a(n-9) - a(n-10) + a(n-12) + a(n-13) + a(n-15) - a(n-17). - Harvey P. Dale, Dec 19 2011

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^4)(1-x^5)(1-x^6)), {x, 0, 60}], x] (* Harvey P. Dale, Dec 19 2011 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^4)*(1-x^5)*(1-x^6)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A007380 A369813 A319162 * A354185 A322994 A256147

Adjacent sequences: A029168 A029169 A029170 * A029172 A029173 A029174

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved