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A008785 (n+4)^n. 12
1, 5, 36, 343, 4096, 59049, 1000000, 19487171, 429981696, 10604499373, 289254654976, 8649755859375, 281474976710656, 9904578032905937, 374813367582081024, 15181127029874798299, 655360000000000000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

E.g.f.(x) for b(n)=n^(n-4)=a(n-4): T-(7/8)T^2+(11/36)T^3-(1/24)T^4, where T=T(x) is Euler's tree function (see A000169). - Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 17 2001

E.g.f.: LambertW(-x)^4/(1+LambertW(-x))/x^4. - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 07 2003

MAPLE

seq(mul(n, k=5..n), n=4..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008

a:=n->mul(denom (1/(n+5)), k=0..n): seq(a(n), n=-1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008

with(finance):seq(futurevalue(1, n+3, n), n=0..16); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

MATHEMATICA

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

CROSSREFS

Cf. A000169, A000272, A000312, A007778, A007830, A008786-A008791.

Sequence in context: A075744 A109186 A099391 * A081918 A062024 A031971

Adjacent sequences:  A008782 A008783 A008784 * A008786 A008787 A008788

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 07:22 EST 2012. Contains 205706 sequences.