A025851 Expansion of 1/((1-x^3)(1-x^8)(1-x^10)).

1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 5, 6, 5, 6, 6, 6, 6, 7, 6, 8, 7, 8, 8, 8, 8, 9, 8, 10, 9, 10, 10, 11, 10, 11, 11, 12, 11, 13, 12, 13, 13, 14, 13, 15

Offset

0,17

Links

Table of n, a(n) for n=0..72.

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

Formula

G.f.: 1/((1-x^3)*(1-x^8)*(1-x^10)).

a(n) = a(n-3) + a(n-8) + a(n-10) - a(n-11) - a(n-13) - a(n-18) + a(n-21). - Wesley Ivan Hurt, May 25 2024

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^8)(1-x^10)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2}, 100] (* Harvey P. Dale, Jul 02 2021 *)

Crossrefs

Sequence in context: A194824 A339931 A339221 * A343911 A125688 A230257

Adjacent sequences: A025848 A025849 A025850 * A025852 A025853 A025854

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved