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A141154 L.g.f.: A(x) = log( 1 + Sum_{n>=1} (n-1)!*x^n ) = Sum_{n>=1} a(n)*x^n/n. 0
1, 1, 4, 17, 91, 574, 4173, 34353, 316012, 3214181, 35832567, 434643518, 5700340569, 80391481045, 1213353891124, 19516682949217, 333307249446083, 6023617863581806, 114854054775272053, 2304312940318519977 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..20.

EXAMPLE

L.g.f.: A(x) = x + x^2/2 + 4*x^3/3 + 17*x^4/4 + 91*x^5/5 + 574*x^6/6 +...

exp(A(x)) = 1 + x + x^2 + 2*x^3 + 6*x^4 + 24*x^5 + 120*x^6 +...

PROG

(PARI) {a(n)=polcoeff(x*deriv(log(Ser(concat(1, vector(n+1, k, (k-1)!))))), n)}

CROSSREFS

Sequence in context: A135168 A058279 A143405 * A112354 A020011 A239914

Adjacent sequences:  A141151 A141152 A141153 * A141155 A141156 A141157

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 11 2008

STATUS

approved

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Last modified May 27 16:49 EDT 2017. Contains 287207 sequences.