A319973 Expansion of (1-x^5+x^8+x^10)/(b(4)*b(5)*b(6)) where b(n) = 1-x^n.

1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 1, 3, 1, 4, 1, 5, 2, 6, 2, 6, 3, 8, 4, 8, 4, 10, 5, 11, 6, 12, 7, 13, 8, 15, 9, 16, 10, 18, 11, 19, 13, 21, 14, 22, 15, 25, 17, 26, 18, 28, 20, 30, 22, 32, 23, 34, 25, 37, 27, 38, 29, 41, 31, 43, 33, 46, 35, 48, 37, 51

Offset

0,9

Links

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

Roberto De Maria Nunes Mendes, Symmetries of spherical harmonics, Transactions of the American Mathematical Society 204 (1975): 161-178. See subgroup 111.

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

Formula

a(n) = a(n-4) + a(n-5) + a(n-6) - a(n-9) - a(n-10) - a(n-11) + a(n-15) for n>14. - Colin Barker, Oct 09 2018

Mathematica

CoefficientList[Series[(1-x^5+x^8+x^10)/((1-x^4)*(1-x^5)*(1-x^6)), {x, 0, 80}], x] (* Stefano Spezia, Oct 09 2018 *)

Prog

(PARI) Vec((1 - x^5 + x^8 + x^10) / ((1 - x)^3*(1 + x)^2*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)) + O(x^80)) \\ Colin Barker, Oct 09 2018

Crossrefs

Sequence in context: A124137 A164092 A302643 * A025804 A042961 A029190

Adjacent sequences: A319970 A319971 A319972 * A319974 A319975 A319976

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 08 2018

Status

approved