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A249737
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E.g.f.: Product_{k=1..n} cosh(k*x).
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2
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1, 0, 5, 0, 1992, 0, 6167551, 0, 73432708224, 0, 2389444075877425, 0, 173496878823412858880, 0, 24573448663070711791073155, 0, 6168942712247503719875933929472, 0, 2554865971518520622455831203134760669, 0, 1650933998542152349112398040415912949710848, 0
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OFFSET
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0,3
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LINKS
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FORMULA
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If n is even a(n) ~ c * d^n * n^(2*n) / (2^(2*n-2) * exp(2*n)), where d = 8.9061971328050809899679389417314..., c = 1.004120096780056350248342856...
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MATHEMATICA
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Table[n!*SeriesCoefficient[Product[Cosh[k*x], {k, 1, n}], {x, 0, n}], {n, 0, 20}]
nn = 20; tab = ConstantArray[0, nn]; tab[[1]] = Series[Cosh[x], {x, 0, nn}]; Do[tab[[k]] = Series[tab[[k-1]]*Cosh[k*x], {x, 0, nn}], {k, 2, nn}]; Flatten[{1, Table[k!*Coefficient[tab[[k]], x^k], {k, 1, nn}]}] (* more efficient *)
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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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