A025830 Expansion of 1/((1-x^3)(1-x^4)(1-x^8)).

1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 5, 3, 4, 5, 7, 4, 5, 7, 8, 5, 7, 8, 10, 7, 8, 10, 12, 8, 10, 12, 14, 10, 12, 14, 16, 12, 14, 16, 19, 14, 16, 19, 21, 16, 19, 21, 24, 19, 21, 24, 27, 21, 24, 27, 30, 24

Offset

0,9

Links

Table of n, a(n) for n=0..65.

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

Formula

a(0)=1, a(1)=0, a(2)=0, a(3)=1, a(4)=1, a(5)=0, a(6)=1, a(7)=1, a(8)=2, a(9)=1, a(10)=1, a(11)=2, a(12)=3, a(13)=1, a(14)=2, a(n)=a(n-3)+a(n-4)-a(n-7)+ a(n-8)- a(n-11)-a(n-12)+a (n-15). - Harvey P. Dale, Mar 31 2013

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^8)), {x, 0, 70}], x]  (* or *) LinearRecurrence[{0, 0, 1, 1, 0, 0, -1, 1, 0, 0, -1, -1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2}, 70] (* Harvey P. Dale, Mar 31 2013 *)

Crossrefs

Sequence in context: A309014 A070990 A097868 * A083796 A037039 A333856

Adjacent sequences: A025827 A025828 A025829 * A025831 A025832 A025833

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved