A336100 revision #12
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A336100
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E.g.f.: Product_{k>=1} (1 - (exp(x) - 1)^k).
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2
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1, -1, -3, -7, -15, 89, 1737, 21713, 266865, 3162089, 34737177, 352100033, 2848598145, -7655375911, -1359369828183, -50221626404047, -1460912626424175, -39804558811289911, -1080962878982246343, -29431779044695154527, -788320672341728128095, -20386762121171790275911
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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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a(n) = Sum_{k=0..n} Stirling2(n,k) * k! * A010815(k).
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MATHEMATICA
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m = 21; Range[0, m]! * CoefficientList[Series[Product[1 - (Exp[x] - 1)^k, {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, Jul 08 2020 *)
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PROG
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(PARI) N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, 1-(exp(x)-1)^k)))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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proposed
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