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A143925 E.g.f. A(x) satisfies: A(x) = exp(x + x^2*A'(x)). 1
1, 1, 3, 25, 397, 10061, 369061, 18415825, 1197307161, 98248658905, 9928361978281, 1211474323983221, 175635827999270629, 29845580180227776277, 5876070628821158239293, 1327055145216772464211321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..250

FORMULA

a(n) ~ c * (n!)^2, where c = 0.80799863989712622039... - Vaclav Kotesovec, Feb 22 2014

PROG

(PARI) {a(n)=local(A=1+x); for(i=0, n, A=exp(x+x^2*deriv(A)+x*O(x^n))); n!*polcoeff(A, n)}

CROSSREFS

Sequence in context: A319122 A304858 A192552 * A245309 A074708 A323217

Adjacent sequences:  A143922 A143923 A143924 * A143926 A143927 A143928

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 06 2008

STATUS

approved

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Last modified November 29 06:00 EST 2021. Contains 349416 sequences. (Running on oeis4.)