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A025864
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Expansion of 1/((1-x^4)(1-x^5)(1-x^12)).
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0
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1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 3, 2, 2, 4, 4, 3, 2, 5, 4, 4, 3, 6, 5, 4, 4, 7, 6, 5, 4, 8, 7, 6, 5, 9, 8, 7, 6, 10, 9, 8, 7, 11, 10, 9, 8, 13, 11, 10, 9, 14, 13, 11, 10, 15, 14, 13, 11, 17, 15
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OFFSET
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0,13
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1).
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FORMULA
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a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=1, a(6)=0, a(7)=0, a(8)=1, a(9)=1, a(10)=1, a(11)=0, a(12)=2, a(13)=1, a(14)=1, a(15)=1, a(16)=2, a(17)=2, a(18)=1, a(19)=1, a(20)=3, a(n)=a(n-4)+a(n-5)-a(n-9)+ a(n-12)-a(n-16)- a(n-17)+a(n-21). - Harvey P. Dale, Mar 22 2015
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MATHEMATICA
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CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^12)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 3}, 100] (* Harvey P. Dale, Mar 22 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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