A025818 Expansion of 1/((1-x^2)(1-x^7)(1-x^10)).

1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 4, 3, 4, 3, 5, 3, 5, 4, 6, 4, 7, 5, 7, 5, 8, 6, 8, 7, 9, 7, 10, 8, 11, 8, 12, 9, 12, 10, 13, 11, 14, 12, 15, 12, 16, 13, 17, 14, 18, 15, 19, 16, 20, 17, 21, 18, 22, 19, 23

Offset

0,11

Links

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

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

Formula

a(0)=1, a(1)=0, a(2)=1, a(3)=0, a(4)=1, a(5)=0, a(6)=1, a(7)=1, a(8)=1, a(9)=1, a(10)=2, a(11)=1, a(12)=2, a(13)=1, a(14)=3, a(15)=1, a(16)=3, a(17)=2, a(18)=3, a(n)=a(n-2)+a(n-7)-a(n-9)+a(n-10)-a(n-12)- a(n-17)+ a(n-19). - Harvey P. Dale, Sep 21 2013

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^7)(1-x^10)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3}, 100] (* Harvey P. Dale, Sep 21 2013 *)

Crossrefs

Sequence in context: A343332 A138012 A072531 * A324938 A362181 A079413

Adjacent sequences: A025815 A025816 A025817 * A025819 A025820 A025821

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved