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Search: id:A028342
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| A028342 |
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Expansion of prod( (1-x^i)^(-1/i), i = 1..infinity); also of exp(sum( d(n)*x^n /n, n = 1..infinity)) where d is number of divisors function. |
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+0
3
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| 1, 1, 3, 11, 59, 339, 2629, 20677, 202089, 2066201, 24322931, 296746251, 4193572723, 59806188571, 954679763829, 15845349818789, 285841314451409, 5293203821406897, 106976406006818659, 2201383054398314251
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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N. J. A. Sloane, Transforms
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FORMULA
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This is an expansion as an exponential generating function; i.e., as sum a(n)*x^n/n!.
Equivalently, a(n)/n! is the Euler transform of [1,1/2,1/3,1/4,...].
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CROSSREFS
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Cf. A000005.
Sequence in context: A137690 A107007 A156560 this_sequence A137982 A074509 A112368
Adjacent sequences: A028339 A028340 A028341 this_sequence A028343 A028344 A028345
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KEYWORD
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nonn
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AUTHOR
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Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca)
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EXTENSIONS
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Edited by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 03 2009
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