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A211193
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E.g.f.: exp((1+x)^(1+x)-1).
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1
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1, 1, 3, 10, 45, 221, 1315, 8324, 60809, 464113, 3993811, 35342814, 349085869, 3486862653, 38870528411, 429139127416, 5345350992113, 63994963427393, 887692696733827, 11284513262684914, 175285847038616301, 2298693217837384957, 40805829165456572691
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OFFSET
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0,3
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COMMENTS
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Conjecture: For n > 1, a(n) == 1 (mod n). - Mélika Tebni, Aug 22 2021
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LINKS
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FORMULA
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E.g.f.: exp((1+x)^(1+x)-1).
a(n) ~ (n-2)! if n is even and a(n) ~ -(n-2)! if n is odd. - Vaclav Kotesovec, Feb 13 2013
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MAPLE
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egf:= exp((1+x)^(1+x)-1);
a:= n-> n!*coeff(series(egf, x, n+1), x, n):
# second program: uses Lehmer-Comtet A008296.
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MATHEMATICA
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Range[0, 22]! CoefficientList[ Series[ Exp[(1 + x)^(1 + x)], {x, 0, 22}], x]/E
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PROG
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(PARI) x='x+O('x^66); Vec(serlaplace(exp((1+x)^(1+x)-1))) \\ Joerg Arndt, Nov 30 2014
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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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