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Search: id:A089064
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| A089064 |
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Expansion of ln(1-ln(1-x)). |
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+0
5
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| 0, 1, 0, 1, 1, 8, 26, 194, 1142, 9736, 81384, 823392, 8738016, 104336880, 1328270880, 18419317968, 272291315376, 4312675967232, 72478365279360, 1292173575000192, 24314102888206464, 482046102448383744, 10037081891973037824
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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Stirling transform of a(n)=[1,0,1,1,8,26,...] is A075792(n)=[1,1,2,8,44,...]. - Michael Somos Mar 04 2004
Stirling transform of -(-1)^n*a(n)=[1,0,1,-1,8,-26,194,...] is A000142(n-1)=[1,1,2,6,24,120,...]. - Michael Somos Mar 04 2004
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REFERENCES
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G. H. Hardy, A Course of Pure Mathematics, 10th ed., Cambridge University Press, 1960, p. 428.
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LINKS
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G. H. Hardy, A Course of Pure Mathematics, Cambridge, The University Press, 1908.
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FORMULA
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a(n) = (-1)^(n+1)*Sum_{k=1..n} (k-1)!*Stirling1(n, k).
E.g.f.: log(1-log(1-x)).
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PROGRAM
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(PARI) a(n)=if(n<0, 0, n!*polcoeff(log(1-log(1-x+x*O(x^n))), n))
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CROSSREFS
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Sequence in context: A140788 A082573 A112645 this_sequence A000810 A129663 A112646
Adjacent sequences: A089061 A089062 A089063 this_sequence A089065 A089066 A089067
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 20 2003
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