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A008787 (n+6)^n. 0
1, 7, 64, 729, 10000, 161051, 2985984, 62748517, 1475789056, 38443359375, 1099511627776, 34271896307633, 1156831381426176, 42052983462257059, 1638400000000000000, 68122318582951682301, 3011361496339065143296 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

E.g.f.(x) for b(n)=n^(n-6)=a(n-6): T-(31/32)T^2+(575/1296)T^3-(415/3456)T^4+(137/7200)T^5-(1/720)T^6; 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)^6/(1+LambertW(-x))/x^6. - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 07 2003

MAPLE

seq(mul(n, k=7..n), n=6..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008

a:=n->mul(denom (1/(n+7)), k=0..n): seq(a(n), n=-1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008

MATHEMATICA

Table[(n+6)^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: A159617 A098307 A055995 * A173516 A197785 A197787

Adjacent sequences:  A008784 A008785 A008786 * A008788 A008789 A008790

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 08:00 EST 2012. Contains 205881 sequences.