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A008786
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a(n) = (n+5)^n.
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8
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1, 6, 49, 512, 6561, 100000, 1771561, 35831808, 815730721, 20661046784, 576650390625, 17592186044416, 582622237229761, 20822964865671168, 799006685782884121, 32768000000000000000, 1430568690241985328321
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
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E.g.f.(x) for b(n) = n^(n-5) = a(n-5): T -(15/16)*T^2 +(85/216)T^3 -(25/288)*T^4 +(1/120)*T^5, where T=T(x) is Euler's tree function. - Len Smiley, Nov 17 2001
E.g.f.: -LambertW(-x)^5/(1+LambertW(-x))/x^5. - Vladeta Jovovic, Nov 07 2003
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MAPLE
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seq(mul(n+5, k=6..n+5), n=0..20); # Zerinvary Lajos, Feb 15 2008
a:=n->mul(denom(1/(n+5)), k=0..n-1): seq(a(n), n=0..20); # Zerinvary Lajos, Apr 26 2008
with(finance):seq(futurevalue(1, n+4, n), n=0..20); # Zerinvary Lajos, Mar 25 2009
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MATHEMATICA
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Table[(n+5)^n, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)
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PROG
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(MAGMA) [(n+5)^n: n in [0..20]]; // Vincenzo Librandi, Jun 11 2013
(PARI) vector(20, n, (n+4)^(n-1)) \\ G. C. Greubel, Sep 11 2019
(Sage) [(n+5)^n for n in (0..20)] # G. C. Greubel, Sep 11 2019
(GAP) List([0..20], n-> (n+5)^n); # G. C. Greubel, Sep 11 2019
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CROSSREFS
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Cf. A000169, A000272, A000312, A007778, A007830, A008785, this sequence, A008787, A008788, A008789, A008790, A008791.
Sequence in context: A098306 A055847 A143165 * A274278 A286799 A245797
Adjacent sequences: A008783 A008784 A008785 * A008787 A008788 A008789
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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