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A270918
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Largest coefficient of (1+x+...+x^n)^(2*n).
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4
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1, 2, 19, 580, 38165, 4395456, 786588243, 202384723528, 70886845397481, 32458256583753952, 18832730699014127291, 13507852690353224821652, 11738630472138500287398379, 12155701820213424461220851360, 14790850878997102285050287114419
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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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a(n) ~ exp(2) * sqrt(3/Pi) * n^(2*n - 3/2).
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MATHEMATICA
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Table[Max[CoefficientList[Expand[Sum[x^k, {k, 0, n}]^(2n)], x]], {n, 0, 20}]
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PROG
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(PARI) a(n) = vecmax(Vec((sum(k=0, n, x^k))^(2*n))); \\ Michel Marcus, Apr 01 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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