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A211193 E.g.f.: exp((1+x)^(1+x)-1). 1
1, 1, 3, 10, 45, 221, 1315, 8324, 60809, 464113, 3993811, 35342814, 349085869, 3486862653, 38870528411, 429139127416, 5345350992113, 63994963427393, 887692696733827, 11284513262684914, 175285847038616301, 2298693217837384957, 40805829165456572691 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Note that for n odd and n>=31 is a(n) negative!. - Vaclav Kotesovec, Feb 13 2013

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

FORMULA

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

MAPLE

egf:= exp((1+x)^(1+x)-1);

a:= n-> n!*coeff(series(egf, x, n+1), x, n):

seq(a(n), n=0..30);  # Alois P. Heinz, Feb 03 2013

MATHEMATICA

Range[0, 22]! CoefficientList[ Series[ Exp[(1 + x)^(1 + x)], {x, 0, 22}], x]/E

PROG

(PARI) x='x+O('x^66); Vec(serlaplace(exp((1+x)^(1+x)-1))) \\ Joerg Arndt, Nov 30 2014

CROSSREFS

Sequence in context: A102911 A096752 A293554 * A134018 A028417 A060311

Adjacent sequences:  A211190 A211191 A211192 * A211194 A211195 A211196

KEYWORD

sign

AUTHOR

Robert G. Wilson v, Feb 03 2013

STATUS

approved

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Last modified June 15 11:22 EDT 2021. Contains 345048 sequences. (Running on oeis4.)