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A362699
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Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3))).
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2
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1, 1, 4, 27, 280, 3605, 56376, 1041103, 22188496, 535856553, 14460919120, 431287416131, 14087063106216, 500112706900573, 19174548699128200, 789598137339356535, 34757031591555021856, 1628640121039415039057, 80938770039259919191584
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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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a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^(n-2*k) / (k! * (n-3*k)!).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x*exp(x^3)))))
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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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