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A094094
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Define x[1]...x[n] by the equations Sum_{j=1..n} x[j]^i = i, i=1..n; a(n) = n! * Sum_{j=1..n} x[j]^(n+1).
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1, 5, 25, 139, 871, 6131, 48161, 419399, 4025071, 42359239, 486703009, 6081751259, 82345132871, 1203618149579, 18920122802881, 318578240878351, 5722495974697951, 109204791111380879, 2205128748183225281
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Suggested by Example 2.24 in Lozansky and Rousseau. Hint: use Newton's equations.
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REFERENCES
| E. Lozansky and C. Rousseau, Winning Solutions, Springer, 1996; see p. 103.
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FORMULA
| E.g.f.: (1-exp(x/(x-1)))/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 03 2004
a(n) = n!*(n+1-LaguerreL(n,1,1)) = Sum_{k=1..n} (-1)^(k+1)*n!/k!*binomial(n+1,k+1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 27 2006
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CROSSREFS
| Cf. A066668.
Sequence in context: A144818 A048370 A124891 * A081683 A122441 A064311
Adjacent sequences: A094091 A094092 A094093 * A094095 A094096 A094097
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 02 2004
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 03 2004
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