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A007925
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n^(n+1) - (n+1)^n.
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17
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-1, -1, -1, 17, 399, 7849, 162287, 3667649, 91171007, 2486784401, 74062575399, 2395420006033, 83695120256591, 3143661612445145, 126375169532421599, 5415486851106043649, 246486713303685957375, 11877172892329028459041
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
Sergio Silva, Teste Numerico, Item 3.
H. J. Smith, Contour Plot of z = x^y - y^x
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FORMULA
| Asymptotic expression for a(n) is a(n) ~ n^n * (n - e). - Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 19 2001
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EXAMPLE
| a(2) = 1^2-2^1 = -1, a(4) = 3^4-4^3 = 17.
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MATHEMATICA
| lst={}; Do[AppendTo[lst, (n^(n+1)-((n+1)^n))], {n, 0, 4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 19 2008]
#^(#+1)-(#+1)^#&/@Range[0, 20] (* From Harvey P. Dale, Oct 22 2011 *)
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CROSSREFS
| Cf. A051442.
Sequence in context: A159244 A012639 A012200 * A097201 A053106 A158541
Adjacent sequences: A007922 A007923 A007924 * A007926 A007927 A007928
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KEYWORD
| sign,easy,nice
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AUTHOR
| Dennis S. Kluk (mathemagician(AT)ameritech.net)
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