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A293039
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E.g.f.: exp(1 + x + x^2/2! + x^3/3! - exp(x)).
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6
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1, 0, 0, 0, -1, -1, -1, -1, 34, 125, 335, 791, -4027, -41328, -223510, -966174, -1082043, 22493107, 255137121, 1853859145, 8611832136, 6734302429, -364364045001, -4974309134233, -41550393316275, -223452696895652, -173393115915136, 14282249293678744
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OFFSET
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0,9
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LINKS
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FORMULA
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a(0) = 1; a(n) = -Sum_{k=4..n} binomial(n-1,k-1) * a(n-k). - Ilya Gutkovskiy, Nov 20 2020
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Exp[1+x+x^2/2!+x^3/3!-Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 19 2022 *)
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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+x^3/6)))
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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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