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Search: id:A136461
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| A136461 |
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E.g.f.: A(x) = -(1 + LambertW(-ln(1+x))/ln(1+x) )/x. |
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1
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| 1, 1, 3, 14, 96, 849, 9362, 123101, 1888016, 33066768, 651883152, 14286514186, 344690210928, 9079702374300, 259327537407416, 7983107543564724, 263518937698466304, 9285770278110061664, 347916420499685643072
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A033917 gives the coefficients of iterated exponential function defined by y(x)=x^y(x) expanded about x=1.
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FORMULA
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a(n) = A033917(n+1)/(n+1). E.g.f.: A(x) = (1/x)*Sum_{i>=1} (i+1)^(i-1)*log(1+x)^i/i!.
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PROGRAM
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(PARI) {a(n)=n!*polcoeff(sum(i=0, n+1, (i+1)^(i-1)*log(1+x+O(x^(n+2)))^i/i!), n+1)}
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CROSSREFS
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Cf. A033917.
Sequence in context: A005772 A053984 A113181 this_sequence A007470 A074515 A038051
Adjacent sequences: A136458 A136459 A136460 this_sequence A136462 A136463 A136464
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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), Dec 31 2007
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