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A060014
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Sum of orders of all permutations of n letters.
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8
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1, 3, 13, 67, 471, 3271, 31333, 299223, 3291487, 39020911, 543960561, 7466726983, 118551513523, 1917378505407, 32405299019941, 608246253790591, 12219834139189263, 253767339725277823, 5591088918313739017
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section XIII.2, p. 460.
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FORMULA
| E.g.f.: Sum_{n>0} (n*Sum_{i|n} (moebius(n/i)*Product_{j|i} exp(x^j/j))). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 29 2004
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EXAMPLE
| For n = 4 there is 1 permutation of order 1, 9 permutations of order 2, 8 of order 3 and 6 of order 4, for a total of 67.
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CROSSREFS
| Cf. A028418, A060015.
Sequence in context: A080832 A194019 A020017 * A042659 A054132 A047149
Adjacent sequences: A060011 A060012 A060013 * A060015 A060016 A060017
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KEYWORD
| nonn,nice,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 17 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 18 2001
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