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A362682
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Expansion of e.g.f. exp(-LambertW(-x))/(1+x).
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0
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1, 0, 3, 7, 97, 811, 11941, 178557, 3354513, 69809383, 1659853861, 43658971753, 1268252733001, 40206626846283, 1383302292511413, 51308059650256741, 2041494097105707937, 86734131445797216847, 3919172491760452282693, 187679722656551406628833
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: -LambertW(-x)/(x * (1+x)).
a(n) = (-1)^n * n! * Sum_{k=0..n} (-(k+1))^k/(k+1)!.
a(0) = 1; a(n) = -n*a(n-1) + (n+1)^(n-1).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x))/(1+x)))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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