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A025911
Expansion of 1/((1-x^7)(1-x^8)(1-x^12)).
0
1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 2, 2, 3, 1, 2, 3, 3, 2, 2, 3, 4, 2, 3, 3, 4, 2, 3, 4, 5, 3, 3, 4, 5, 3, 4, 5, 6, 3, 4, 5, 6, 4, 5, 6, 7, 4, 5, 6, 7, 5, 6, 7
OFFSET
0,25
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1).
FORMULA
a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=0, a(6)=0, a(7)=1, a(8)=1, a(9)=0, a(10)=0, a(11)=0, a(12)=1, a(13)=0, a(14)=1, a(15)=1, a(16)=1, a(17)=0, a(18)=0, a(19)=1, a(20)=1, a(21)=1, a(22)=1, a(23)=1, a(24)=2, a(25)=0, a(26)=1, a(n)=a(n-7)+a(n-8)+a(n-12)-a(n-15)- a(n-19)- a(n-20)+ a(n-27). - Harvey P. Dale, Mar 30 2014
MATHEMATICA
CoefficientList[Series[1/((1-x^7)(1-x^8)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1}, 80] (* Harvey P. Dale, Mar 30 2014 *)
CROSSREFS
Sequence in context: A340453 A116374 A181953 * A060184 A055639 A156542
KEYWORD
nonn
AUTHOR
STATUS
approved