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A008791 n^(n+5). 14
0, 1, 128, 6561, 262144, 9765625, 362797056, 13841287201, 549755813888, 22876792454961, 1000000000000000, 45949729863572161, 2218611106740436992, 112455406951957393129, 5976303958948914397184, 332525673007965087890625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

E.g.f.(x): T(1+52T+328T^2+444T^3+120T^4)(1-T)^(-11); where T=T(x) is Euler's tree function (see A000169). - Len Smiley, Nov 17 2001

See A008517 and A134991 for similar e.g.f.s and diagonals of A048993. - Tom Copeland, Oct 03 2011

E.g.f.: d^5/dx^5 {x^5/(T(x)^5*(1-T(x))}, where T(x) = sum {n >= 1} n^(n-1)*x^n/n! is the tree function of A000169. - Peter Bala, Aug 05 2012

MAPLE

a:=n->mul( n, k=-4..n): seq(a(n), n=0..15); # Zerinvary Lajos, Jan 26 2008

MATHEMATICA

Table[n^(n+5), {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

PROG

(MAGMA) [n^(n+5): n in [0..20]]; // Vincenzo Librandi, Jun 11 2013

CROSSREFS

Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008790.

Sequence in context: A297093 A185488 A283690 * A201239 A013700 A232995

Adjacent sequences:  A008788 A008789 A008790 * A008792 A008793 A008794

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 15:30 EDT 2018. Contains 316236 sequences. (Running on oeis4.)