A008787 a(n) = (n + 6)^n.

1, 7, 64, 729, 10000, 161051, 2985984, 62748517, 1475789056, 38443359375, 1099511627776, 34271896307633, 1156831381426176, 42052983462257059, 1638400000000000000, 68122318582951682301, 3011361496339065143296

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000169, A000272, A000312, A007778, A007830, A008785, A008786, this sequence, A008788, A008789, A008790, A008791.

Programs

GAP

List([0..20], n-> (n+6)^n); # G. C. Greubel, Sep 11 2019

Magma

[(n+6)^n: n in [0..20]]; // Vincenzo Librandi, Jun 11 2013

Maple

a:= n-> (n+6)^n: seq(a(n), n=0..20);

Mathematica

Table[(n+6)^n,{n,0,20}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

PARI

vector(20, n, (n+5)^(n-1)) \\ G. C. Greubel, Sep 11 2019

Sage

[(n+6)^n for n in (0..20)] # G. C. Greubel, Sep 11 2019

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, Nov 17 2001

E.g.f.: LambertW(-x)^6/(x^6*(1+LambertW(-x))). - Vladeta Jovovic, Nov 07 2003

E.g.f.: (1/5)*d/dx(LambertW(-x)/(-x))^5. - Wolfdieter Lang, Oct 25 2022