A271484 Expansion of x^5/((1-x^2)*(1-x^4))+x^10/((1-x^4)*(1-x^6)).

0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 3, 1, 3, 1, 4, 1, 4, 1, 5, 2, 5, 1, 6, 2, 6, 2, 7, 2, 7, 2, 8, 3, 8, 2, 9, 3, 9, 3, 10, 3, 10, 3, 11, 4, 11, 3, 12, 4, 12, 4, 13, 4, 13, 4, 14, 5, 14, 4, 15, 5, 15, 5, 16, 5, 16, 5, 17, 6, 17, 5, 18, 6, 18, 6, 19, 6, 19, 6, 20, 7, 20, 6, 21, 7, 21, 7, 22, 7

Offset

0,10

Links

Colin Barker, Table of n, a(n) for n = 0..1000

David Broadhurst, Feynman integrals, L-series and Kloosterman moments, arXiv:1604.03057, 2016. See Eq. 47.

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

Formula

a(n) = a(n-4)+a(n-6)-a(n-10) for n>10. - Colin Barker, Apr 14 2016

Mathematica

LinearRecurrence[{0, 0, 0, 1, 0, 1, 0, 0, 0, -1}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1}, 120] (* Harvey P. Dale, Mar 24 2018 *)

Prog

(PARI) concat(vector(5), Vec(x^5*(1+x^2+x^4+x^5)/((1-x)^2*(1+x)^2*(1-x+x^2)*(1+x^2)*(1+x+x^2)) + O(x^50))) \\ Colin Barker, Apr 14 2016

Crossrefs

Sequence in context: A159834 A274576 A257081 * A199920 A177995 A332104

Adjacent sequences: A271481 A271482 A271483 * A271485 A271486 A271487

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 12 2016

Status

approved