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A057625
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n! * sum 1/k! where the sum is over all positive integers k that divide n.
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5
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1, 3, 7, 37, 121, 1201, 5041, 62161, 423361, 5473441, 39916801, 818959681, 6227020801, 130784734081, 1536517382401, 32256486662401, 355687428096001, 10679532671808001, 121645100408832001, 3770998783116364801
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Sets of lists of equal size, cf. A000262. - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 02 2003
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FORMULA
| E.g.f.: Sum_{n>0}(exp(x^n)-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 30 2001
E.g.f.: Sum_{k>0} x^k/k!/(1-x^k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 14 2003
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EXAMPLE
| a(4) = 4! (1 + 1/2! + 1/4!) = 24 (1 +1/2 + 1/24) = 37.
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CROSSREFS
| Cf. A061095, A038041, A038048, A005225.
Cf. A038041, A005225, A000005.
Sequence in context: A199347 A049493 A020463 * A087208 A161675 A086031
Adjacent sequences: A057622 A057623 A057624 * A057626 A057627 A057628
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Oct 09 2000
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