A029399 Expansion of 1/((1-x^5)(1-x^7)(1-x^9)(1-x^12)).

1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 3, 1, 3, 2, 2, 4, 2, 4, 3, 4, 4, 4, 5, 4, 6, 5, 6, 7, 6, 7, 7, 8, 8, 9, 9, 9, 11, 10, 11, 12, 12, 13, 13, 14, 14, 16, 16, 16, 18, 17, 19, 20, 20, 21, 22, 23, 23, 25, 25, 26

Offset

0,13

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, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1).

Formula

G.f.: 1/((1-x^5)*(1-x^7)*(1-x^9)*(1-x^12)).

a(n) = a(n-5)+a(n-7)+a(n-9)-a(n-14)-a(n-16)-a(n-17)-a(n-19)+a(n-24)+a(n-26)+a(n-28)-a(n-33). - Wesley Ivan Hurt, May 20 2021

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^9)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)

Crossrefs

Sequence in context: A112022 A358011 A000586 * A302172 A249338 A046069

Adjacent sequences: A029396 A029397 A029398 * A029400 A029401 A029402

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved