A029403 Expansion of 1/((1-x^5)(1-x^8)(1-x^9)(1-x^10)).

1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 3, 2, 3, 1, 1, 3, 3, 4, 3, 3, 5, 4, 5, 3, 4, 6, 6, 7, 6, 6, 8, 7, 9, 7, 8, 10, 10, 12, 10, 10, 13, 12, 15, 12, 13, 16, 16, 18, 16, 16, 20, 19, 22, 19, 20, 24, 24, 26, 24, 24, 29

Offset

0,11

Links

Table of n, a(n) for n=0..68.

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

Formula

G.f.: 1/((1-x^5)*(1-x^8)*(1-x^9)*(1-x^10)).

a(n) = a(n-5) + a(n-8) + a(n-9) + a(n-10) - a(n-13) - a(n-14) - a(n-15) - a(n-17) - a(n-18) - a(n-19) + a(n-22) + a(n-23) + a(n-24) + a(n-27) - a(n-32). - Wesley Ivan Hurt, Apr 16 2023

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^8)(1-x^9)(1-x^10)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)

Crossrefs

Sequence in context: A360002 A039977 A197548 * A007706 A241069 A261084

Adjacent sequences: A029400 A029401 A029402 * A029404 A029405 A029406

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved