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A008786 a(n) = (n+5)^n. 8
1, 6, 49, 512, 6561, 100000, 1771561, 35831808, 815730721, 20661046784, 576650390625, 17592186044416, 582622237229761, 20822964865671168, 799006685782884121, 32768000000000000000, 1430568690241985328321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

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

MAPLE

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

MATHEMATICA

Table[(n+5)^n, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

PROG

(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

CROSSREFS

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

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 10 22:05 EDT 2021. Contains 342856 sequences. (Running on oeis4.)