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Search: id:A161967
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| A161967 |
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E.g.f. satisfies: A(x) = exp( x*exp( x*A'(x)/A(x) ) ), where A'(x)/A(x) = d/dx log(A(x)). |
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+0
3
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| 1, 1, 3, 22, 317, 7596, 270727, 13332544, 862740153, 70762448080, 7161344443691, 875732817920544, 127244974218410677, 21666397760623131712, 4273075677258426773295, 966395699152796722817536
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 317*x^4/4! + 7596*x^5/5! +...
A'(x)/A(x) = 1 + 2*x + 15*x^2/2! + 232*x^3/3! + 5905*x^4/4! + 220176*x^5/5! +...
where x*exp( x*d/dx log(A(x)) ) = log(A(x)) = e.g.f. of A161968.
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PROGRAM
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(PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(x*exp(x*deriv(A)/(A+O(x^n))))); n!*polcoeff(A, n)}
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CROSSREFS
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Cf. A161968 (log).
Sequence in context: A119390 A144681 A124567 this_sequence A102223 A046947 A002485
Adjacent sequences: A161964 A161965 A161966 this_sequence A161968 A161969 A161970
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 23 2009
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