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 A007925 a(n) = n^(n+1) - (n+1)^n. 18
 -1, -1, -1, 17, 399, 7849, 162287, 3667649, 91171007, 2486784401, 74062575399, 2395420006033, 83695120256591, 3143661612445145, 126375169532421599, 5415486851106043649, 246486713303685957375, 11877172892329028459041 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255. 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 FORMULA Asymptotic expression for a(n) is a(n) ~ n^n * (n - e). - Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 19 2001 EXAMPLE a(2) = 1^2 - 2^1 = -1, a(4) = 3^4 - 4^3 = 17. MAPLE A007925:=n->n^(n+1)-(n+1)^n: seq(A007925(n), n=0..25); # Wesley Ivan Hurt, Jan 10 2017 MATHEMATICA lst={}; Do[AppendTo[lst, (n^(n+1)-((n+1)^n))], {n, 0, 4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 19 2008 *) #^(#+1)-(#+1)^#&/@Range[0, 20] (* Harvey P. Dale, Oct 22 2011 *) PROG (Maxima) A007925[n]:=n^(n+1)-(n+1)^n\$ makelist(A007925[n], n, 0, 30); /* Martin Ettl, Oct 29 2012 */ (PARI) a(n)=n^(n+1)-(n+1)^n \\ Charles R Greathouse IV, Feb 06 2017 CROSSREFS Cf. A051442. Sequence in context: A318043 A012639 A012200 * A097201 A053106 A158541 Adjacent sequences:  A007922 A007923 A007924 * A007926 A007927 A007928 KEYWORD sign,easy,nice AUTHOR Dennis S. Kluk (mathemagician(AT)ameritech.net) STATUS approved

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Last modified September 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)