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A305990 Expansion of e.g.f.: (1+x) / (exp(-x) - x). 8
1, 3, 11, 58, 409, 3606, 38149, 470856, 6641793, 105398650, 1858413061, 36044759796, 762659322385, 17481598316742, 431535346662645, 11413394655983536, 321989729198400385, 9651573930139850610, 306321759739045148293, 10262156907184058219340 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) ~ n! / LambertW(1)^(n+1).
a(n) = (-1)^n * A009444(n+1).
a(n) = Sum_{k=0..n+1} (n+1)!*(n-k+1)^(k-1)/k! for n > 0. - Detlef Meya, Sep 05 2023
MATHEMATICA
nmax = 20; CoefficientList[Series[(1+x)/(E^(-x)-x), {x, 0, nmax}], x] * Range[0, nmax]!
a={1}; For[n=1, n<20, n++, AppendTo[a, Sum[(n!)*((n-k+1)^(k-1))*(n+1)/(k!), {k, 0, n+1}]]]; a (* Detlef Meya, Sep 05 2023 *)
CROSSREFS
Sequence in context: A020012 A126100 A009444 * A168325 A141776 A071698
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 16 2018
STATUS
approved

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Last modified March 29 09:28 EDT 2024. Contains 371268 sequences. (Running on oeis4.)