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A308646
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a(n) = exp(1) * Sum_{k>=0} (-1)^k*k^(2*n)/k!.
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2
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1, 0, 1, -9, 50, 413, -17731, 110176, 9938669, -278475061, -9816860358, 725503033401, 15823587507881, -2848115497132448, -38795579403211671, 17235101634895315375, 153440975825762815938, -156894403296377741177371, -1454252568471818731501051, 2071137586315785548669378432
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = Sum_{k=0..2*n} (-1)^k*Stirling2(2*n,k).
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MAPLE
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MATHEMATICA
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Table[Exp[1] Sum[(-1)^k k^(2 n)/k!, {k, 0, Infinity}], {n, 0, 19}]
Table[BellB[2 n, -1], {n, 0, 19}]
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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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