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A025876 Expansion of 1/((1-x^5)(1-x^6)(1-x^7)). 0
1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 13, 14, 14, 14, 14, 15, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Table of n, a(n) for n=0..71.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -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)=1, a(8)=0, a(9)=0, a(10)=1, a(11)=1, a(12)=2, a(13)=1, a(14)=1, a(15)=1, a(16)=1, a(17)=2, a(n)=a(n-5)+a(n-6)+a(n-7)-a(n-11)-a(n-12)-a(n-13)+a(n-18). - Harvey P. Dale, Dec 16 2013

MATHEMATICA

CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^7)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2}, 80] (* Harvey P. Dale, Dec 16 2013 *)

CROSSREFS

Sequence in context: A112191 A025887 A025882 * A109035 A244231 A237706

Adjacent sequences:  A025873 A025874 A025875 * A025877 A025878 A025879

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 20 23:24 EST 2019. Contains 320362 sequences. (Running on oeis4.)