A029385 Expansion of 1/((1-x^5)(1-x^6)(1-x^8)(1-x^11)).

1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 5, 5, 5, 6, 5, 7, 7, 7, 8, 8, 8, 10, 9, 11, 11, 11, 12, 13, 13, 15, 14, 16, 16, 17, 18, 19, 19, 21, 21, 23, 23, 24, 25, 27, 27, 29, 29, 31, 32, 34

Offset

0,12

Links

Table of n, a(n) for n=0..66.

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

Formula

a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=1, a(6)=1, a(7)=0, a(8)=1, a(9)=0, a(10)=1, a(11)=2, a(12)=1, a(13)=1, a(14)=1, a(15)=1, a(16)=3, a(17)=2, a(18)=2, a(19)=2, a(20)=2, a(21)=3, a(22)=4, a(23)=3, a(24)=4, a(25)=3, a(26)=4, a(27)=5, a(28)=5, a(29)=5, a(n)=a(n-5)+a(n-6)+a(n-8)-a(n-13)-a(n-14)-a(n-16)-a(n-17)+ a(n-22)+ a(n-24)+a(n-25)-a(n-30). - Harvey P. Dale, Oct 01 2013

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^8)(1-x^11)), {x, 0, 70}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 5, 5, 5}, 70] (* Harvey P. Dale, Oct 01 2013 *)

Crossrefs

Sequence in context: A063420 A347917 A254631 * A185155 A249095 A026536

Adjacent sequences: A029382 A029383 A029384 * A029386 A029387 A029388

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved