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Search: id:A087962
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| A087962 |
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Satisfies sum(n>=0, a(n)*x^n/n!) = log(f(x)) = series reversion of xf(x), where f(xf(x))=exp(x) and f(x)=sum(n>=0, A087961(n)*x^n/n!). |
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+0
2
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| 0, 1, -2, 15, -220, 5025, -159606, 6593041, -338977416, 21032339985, -1539275365450, 130569297615801, -12660181105282668, 1387510663815243721, -170295099173001030606, 23224872340978381412865
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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This is the series reversion of xf(x) where f(xf(x))=exp(x), exp(xf(x))=f(xf(x)*exp(x)), f(log(x)*f(log(x)))=x, and f(x)=sum(n>=0, A087961(n)*x^n/n!). Are these series convergent anywhere besides at x=0?
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EXAMPLE
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f(x) = 1 +1x -1x^2/2! +10x^3/3! -159x^4/4! +3816x^5/5! -125375x^6/6! +-...
where f(xf(x)) = exp(x).
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CROSSREFS
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Cf. A087961.
Sequence in context: A099718 A132493 A135860 this_sequence A140054 A099085 A078365
Adjacent sequences: A087959 A087960 A087961 this_sequence A087963 A087964 A087965
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Sep 18 2003
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