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A271484
Expansion of x^5/((1-x^2)*(1-x^4))+x^10/((1-x^4)*(1-x^6)).
1
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
David Broadhurst, Feynman integrals, L-series and Kloosterman moments, arXiv:1604.03057, 2016. See Eq. 47.
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 12 2016
STATUS
approved