A025827 Expansion of 1/((1-x^2)(1-x^11)(1-x^12)).

1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 3, 5, 4, 6, 4, 6, 4, 6, 4, 6, 4, 7, 5, 8, 6, 9, 6, 9, 6, 9, 6, 9, 7, 10, 8, 11, 9, 12, 9, 12, 9, 12, 9, 13, 10, 14, 11, 15, 12, 16, 12, 16

Offset

0,13

Links

Table of n, a(n) for n=0..74.

Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 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)=0, a(8)=1, a(9)=0, a(10)=1, a(11)=1, a(12)=2, a(13)=1, a(14)=2, a(15)=1, a(16)=2, a(17)=1, a(18)=2, a(19)=1, a(20)=2, a(21)=1, a(22)=3, a(23)=2, a(24)=4, a(n)=a(n-2)+a(n-11)+a(n-12)-a(n-13)-a(n-14)-a(n-23)+a(n-25). - Harvey P. Dale, Mar 27 2016

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^11)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 4}, 80] (* Harvey P. Dale, Mar 27 2016 *)

Crossrefs

Sequence in context: A033111 A078313 A354601 * A025826 A161235 A161059

Adjacent sequences: A025824 A025825 A025826 * A025828 A025829 A025830

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved