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A008785 a(n) = (n+4)^n. 14
1, 5, 36, 343, 4096, 59049, 1000000, 19487171, 429981696, 10604499373, 289254654976, 8649755859375, 281474976710656, 9904578032905937, 374813367582081024, 15181127029874798299, 655360000000000000000 (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-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, Nov 17 2001

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

MAPLE

seq(mul(n, k=5..n), n=4..20); # Zerinvary Lajos, Feb 15 2008

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

with(finance):seq(futurevalue(1, n+3, n), n=0..16); # Zerinvary Lajos, Mar 25 2009

MATHEMATICA

Table[(n+4)^n, {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

PROG

(MAGMA) [(n+4)^n: n in [0..20]]; // Vincenzo Librandi, Jun 11 2013

(PARI) for(n=0, 50, print1((n+4)^n, ", ")) \\ G. C. Greubel, Nov 09 2017

CROSSREFS

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

Sequence in context: A261899 A109186 A099391 * A081918 A062024 A031971

Adjacent sequences:  A008782 A008783 A008784 * A008786 A008787 A008788

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 21 12:23 EST 2018. Contains 317449 sequences. (Running on oeis4.)