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 A293040 E.g.f.: exp(1 + x + x^2/2! + x^3/3! + x^4/4! - exp(x)). 6
 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 125, 461, 1253, 3002, 6720, -111684, -978758, -5246983, -22948029, -89534309, 164027151, 5722510249, 55413784239, 393256686307, 2377996545081, 7807749195198, -46231762188586, -1125536160278906, -12849721017510166 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..593 FORMULA a(0) = 1; a(n) = -Sum_{k=5..n} binomial(n-1,k-1) * a(n-k). - Ilya Gutkovskiy, Nov 20 2020 MAPLE seq(factorial(n)*coeftayl(exp(1+x+x^2/2!+x^3/3!+x^4/4!-exp(x)), x = 0, n), n=0..50); # Muniru A Asiru, Oct 06 2017 PROG (PARI) my(x='x+O('x^66)); Vec(serlaplace(exp(-exp(x)+1+x+x^2/2+x^3/6+x^4/24))) CROSSREFS Column k=4 of A293051. Cf. A000587 (k=0), A293037 (k=1), A293038 (k=2), A293039 (k=3), this sequence (k=4). Cf. A057814. Sequence in context: A059470 A316387 A250900 * A250136 A141480 A155986 Adjacent sequences: A293037 A293038 A293039 * A293041 A293042 A293043 KEYWORD sign AUTHOR Seiichi Manyama, Sep 28 2017 STATUS approved

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Last modified June 10 07:12 EDT 2023. Contains 363195 sequences. (Running on oeis4.)