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

0,2

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 (smiley(AT)math.uaa.alaska.edu), Nov 17 2001

E.g.f.: -LambertW(-x)^5/(1+LambertW(-x))/x^5. - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 07 2003

MAPLE

seq(mul(n, k=6..n), n=5..21); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008

a:=n->mul(denom (1/(n+6)), k=0..n): seq(a(n), n=-1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008

with(finance):seq(futurevalue(1, n+4, n), n=0..16); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

MATHEMATICA

Table[(n+5)^n, {n, 0, 40}](*From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), 26 Dec 2010*)

CROSSREFS

Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008791.

Sequence in context: A098306 A055847 A143165 * A046195 A024268 A187528

Adjacent sequences:  A008783 A008784 A008785 * A008787 A008788 A008789

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.