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A143921
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E.g.f. A(x) satisfies: A(x) = exp(x + x*Integral A(x) dx).
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0
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1, 1, 3, 10, 49, 281, 1975, 15933, 147457, 1528282, 17603351, 222691261, 3072168481, 45882929925, 737717712439, 12703639993306, 233281370579713, 4550465650811445, 93966210612477271, 2047838398486924977
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OFFSET
| 0,3
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FORMULA
| E.g.f. A(x) satisfies: log(A(x)) = x*A'(x)/A(x) - x^2*A(x).
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EXAMPLE
| E.g.f. A(x) = 1 + x + 3*x^2/2! + 10*x^3/3! + 49*x^4/4! + 281*x^5/5! +...
log(A(x)) = x + x^2 + x^3/2! + 3*x^4/3! + 10*x^5/4! + 49*x^6/5! +...
A'(x)/A(x) = 1 + 2*x + 3*x^2/2! + 12*x^3/3! + 50*x^4/4! + 294*x^5/5! +...
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PROG
| (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=exp(x+x*intformal(A))); n!*polcoeff(A, n)}
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CROSSREFS
| Sequence in context: A140964 A005921 A193281 * A082426 A054381 A102088
Adjacent sequences: A143918 A143919 A143920 * A143922 A143923 A143924
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Sep 06 2008
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