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A084447
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Number of triangular partitions of n of order 5.
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3
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1, 5, 15, 39, 90, 189, 375, 707, 1276, 2226, 3768, 6210, 10002, 15780, 24432, 37198, 55772, 82443, 120300, 173445, 247284, 348916, 487555, 675088, 926784, 1262091, 1705644, 2288518, 3049654, 4037611, 5312713, 6949490, 9039627, 11695524, 15054338, 19282807
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)).
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MATHEMATICA
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CoefficientList[Series[1/((1 - x)^5 (1 - x^3)^4 (1 - x^5)^3 (1 - x^7)^2 (1 - x^9)), {x, 0, 50}], x] (* Vincenzo Librandi, Aug 29 2016 *)
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PROG
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(PARI) Vec( 1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)) + O(x^50)) \\ Michel Marcus, Dec 08 2014
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)))); // Vincenzo Librandi, Aug 29 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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