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A120295
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Absolute value of the largest coefficient of Product[(1-x^k)^k,{k,1,n}].
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2
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1, 2, 6, 30, 289, 5170, 155768, 7947236, 695357704, 105014923458, 27857098312474, 12416271212737642, 9302296598744837059, 12142590791028740988194, 26874517085010633423659616, 100413718348008543669377307304
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = Max[Abs[CoefficientList[Product[(1-x^k)^k,{k,1,n}],x]]].
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EXAMPLE
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a(1)=1 because Product[(1-x^k)^k,{k,1,1}]=x-1.
a(2)=2 because Product[(1-x^k)^k,{k,1,2}]=(1-x)(1-x^2)^2=-x^5+x^4+2x^3-2x^2-x+1.
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MATHEMATICA
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Table[Max[Abs[CoefficientList[Product[(1-x^k)^k, {k, 1, n}], x]]], {n, 1, 16}]
p=1; Table[p=Expand[p*(1-x^n)^n]; Max[Abs[CoefficientList[p, x]]], {n, 1, 20}] (* Vaclav Kotesovec, Feb 10 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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