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A025903
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Expansion of 1/((1-x^6)*(1-x^8)*(1-x^11)).
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8
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1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 3, 3, 2, 4, 2, 4, 3, 4, 3, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 8, 6, 8, 6, 8, 7, 9, 7
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OFFSET
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0,23
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COMMENTS
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a(n) is the number of partitions of n into parts 6, 8, and 11. - Michel Marcus, Jan 24 2024
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1,0,1,0,0,1,0,0,-1,0,0,-1,0,-1,0,0,0,0,0,1).
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MATHEMATICA
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CoefficientList[Series[1/((1-x^6)(1-x^8)(1-x^11)), {x, 0, 80}], x] (* Harvey P. Dale, May 22 2018 *)
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PROG
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(PARI) Vec(1/((1-x^6)*(1-x^8)*(1-x^11)) + O(x^90)) \\ Jinyuan Wang, Feb 28 2020
(Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^6)*(1-x^8)*(1-x^11)) )); // G. C. Greubel, Jan 23 2024
(SageMath)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/((1-x^6)*(1-x^8)*(1-x^11)) ).list()
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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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