A025919 Expansion of 1/((1-x^8)(1-x^9)(1-x^11)).

1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset

0,28

Links

Table of n, a(n) for n=0..79.

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

Formula

a(n)= +a(n-8) +a(n-9) +a(n-11) -a(n-17) -a(n-19) -a(n-20) +a(n-28). - R. J. Mathar, Jul 19 2014

Mathematica

CoefficientList[Series[1/((1-x^8)(1-x^9)(1-x^11)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2}, 80] (* Harvey P. Dale, Dec 31 2015 *)

Crossrefs

Sequence in context: A353372 A305501 A184170 * A095684 A205565 A064531

Adjacent sequences: A025916 A025917 A025918 * A025920 A025921 A025922

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved