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A362315
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a(n) = n! * Sum_{k=0..floor(n/4)} (-n/4)^k /(k! * (n-4*k)!).
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2
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1, 1, 1, 1, -23, -149, -539, -1469, 77281, 911737, 5657401, 25134121, -2065730039, -35352993389, -310739232803, -1913714425349, 213881558916481, 4797269708789041, 54560246286936241, 429606655679843857, -60718212515535701399, -1684610587476711352709
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OFFSET
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0,5
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LINKS
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FORMULA
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a(n) = n! * [x^n] exp(x - n*x^4/4).
E.g.f.: exp( ( LambertW(x^4) )^(1/4) ) / (1 + LambertW(x^4)).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(x^4)^(1/4))/(1+lambertw(x^4))))
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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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