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Search: id:A161968
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| A161968 |
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E.g.f. L(x) satisfies: L(x) = x*exp(x*d/dx L(x)), where L(x) is the logarithm of e.g.f. of A161967. |
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+0
2
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| 0, 1, 2, 15, 232, 5905, 220176, 11210479, 743759360, 62179950753, 6387468716800, 790466735915791, 115974842104378368, 19906425428056709425, 3952505003715017695232, 899034956269244372091375
(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.: L(x) = x + 2*x^2/2! + 15*x^3/3! + 232*x^4/4! + 5905*x^5/5! +...
where exp(L(x)) = exp(x*exp(x*d/dx L(x))) = e.g.f. of A161967:
exp(L(x)) = 1 + x + 3*x^2/2! + 22*x^3/3! + 317*x^4/4! + 7596*x^5/5! +...
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PROGRAM
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(PARI) {a(n)=local(L=x+x^2); for(i=1, n, L=x*exp(x*deriv(L)+O(x^n))); n!*polcoeff(L, n)}
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CROSSREFS
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Cf. A161968 (exp).
Sequence in context: A145168 A090301 A097628 this_sequence A156750 A102555 A143886
Adjacent sequences: A161965 A161966 A161967 this_sequence A161969 A161970 A161971
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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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