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A293038
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E.g.f.: exp(1 + x + x^2/2! - exp(x)).
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7
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1, 0, 0, -1, -1, -1, 9, 34, 90, -71, -1645, -9439, -25367, 45902, 1070146, 7122361, 24063637, -54352333, -1501032375, -12319959348, -53177369044, 80189626539, 3910291080509, 40317032441401, 228707685648269, 38882013140648, -16392939262378536
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OFFSET
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0,7
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LINKS
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FORMULA
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a(0) = 1; a(n) = -Sum_{k=3..n} binomial(n-1,k-1) * a(n-k). - Ilya Gutkovskiy, Nov 20 2020
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MAPLE
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seq(factorial(n) * coeftayl(exp(1+x+x^2/2!-exp(x)), x = 0, n), n = 0..50); # Muniru A Asiru, Oct 05 2017
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PROG
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(PARI) my(x='x+O('x^66)); Vec(serlaplace(exp(-exp(x)+1+x+x^2/2)))
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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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