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A029090
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Expansion of 1/((1-x)(1-x^5)(1-x^6)(1-x^12)).
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1
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1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 7, 7, 7, 8, 9, 11, 13, 13, 14, 15, 17, 19, 22, 23, 24, 26, 28, 31, 35, 36, 38, 40, 43, 47, 52, 54, 56, 59, 63, 68, 74, 76, 79, 83, 88, 94, 101, 104, 108, 113, 119, 126, 134, 138, 143
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OFFSET
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0,6
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COMMENTS
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Number of partitions of n into parts 1, 5, 6 and 12. - Ilya Gutkovskiy, May 20 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,0,-1,0,0,0,-1,2,-1,0,0,0,-1,0,1,0,0,0,1,-1).
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MATHEMATICA
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CoefficientList[Series[1/((1 - x) (1 - x^5) (1 - x^6) (1 -x^12)), {x, 0, 100}], x] (* Vincenzo Librandi, May 27 2017 *)
LinearRecurrence[{1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 7, 7, 7, 8, 9, 11, 13, 13, 14, 15, 17, 19}, 100] (* Harvey P. Dale, Apr 29 2018 *)
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PROG
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(Magma) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-x^5)*(1-x^6)*(1-x^12)))); // Vincenzo Librandi, May 27 2017
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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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