A025867 Expansion of 1/((1-x^4)(1-x^7)(1-x^8)).

1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 5, 2, 3, 4, 6, 2, 3, 5, 7, 3, 4, 6, 8, 3, 5, 7, 9, 4, 6, 8, 10, 5, 7, 9, 11, 6, 8, 10, 13, 7, 9, 11, 14, 8, 10, 13, 16, 9, 11, 14, 17, 10, 13, 16, 19

Offset

0,9

Links

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

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

Formula

a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=0, a(6)=0, a(7)=1, a(8)=2, a(9)=0, a(10)=0, a(11)=1, a(12)=2, a(13)=0, a(14)=1, a(15)=2, a(16)=3, a(17)=0, a(18)=1, a(n)=a(n-4)+a(n-7)+a(n-8)-a(n-11)-a(n-12)- a(n-15)+ a(n-19). - Harvey P. Dale, May 30 2014

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^7)(1-x^8)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 3, 0, 1}, 100] (* Harvey P. Dale, May 30 2014 *)

Crossrefs

Sequence in context: A100563 A325192 A087773 * A078646 A264405 A304650

Adjacent sequences: A025864 A025865 A025866 * A025868 A025869 A025870

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved