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A341586
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E.g.f.: (exp(1 - exp(x)) - 1)^2 / 2.
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0
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1, 0, -4, -5, 22, 98, -5, -1458, -5136, 9053, 161328, 549822, -1954067, -30099188, -114161728, 500200027, 8875931202, 42311243830, -149028931789, -3816065804086, -24704581255020, 33033659868037, 2184285021783940, 20047242475274290, 30117550563701293
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OFFSET
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2,3
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LINKS
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FORMULA
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a(n) = Sum_{k=2..n} (-1)^k * Stirling2(n, k) * Stirling2(k, 2).
a(n) = Sum_{k=2..n} (-1)^k * Stirling2(n, k) * (2^(k-1) - 1).
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MATHEMATICA
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nmax = 26; CoefficientList[Series[(Exp[1 - Exp[x]] - 1)^2/2, {x, 0, nmax}], x] Range[0, nmax]! // Drop[#, 2] &
Table[Sum[(-1)^k StirlingS2[n, k] StirlingS2[k, 2], {k, 2, n}], {n, 2, 26}]
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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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approved
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