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A334571
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E.g.f.: exp(-(x + x^2/2 + x^3/3 + x^4/4 + x^5/5)).
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3
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1, -1, 0, 0, 0, 0, 120, -120, -720, -5040, -40320, -362880, 3024000, 21859200, 151113600, 753667200, -3978374400, -249882796800, -1752623308800, -7319841177600, 79100731699200, 2905096654540800, 48387220210944000, 226481995918080000, -2094278695939584000, -85503113536135680000
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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 and a(n) = - (n-1)! * Sum_{k=1..min(5,n)} a(n-k)/(n-k)!.
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MATHEMATICA
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m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2/2 + x^3/3 + x^4/4 + x^5/5)], {x, 0, m}], x] (* Amiram Eldar, May 03 2021 *)
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PROG
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(PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2/2-x^3/3-x^4/4-x^5/5)))
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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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