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0, 1, 128, 6561, 262144, 9765625, 362797056, 13841287201, 549755813888, 22876792454961, 1000000000000000, 45949729863572161, 2218611106740436992, 112455406951957393129, 5976303958948914397184, 332525673007965087890625
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
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FORMULA
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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 (smiley(AT)math.uaa.alaska.edu), 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
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MAPLE
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a:=n->mul( n, k=-4..n): seq(a(n), n=0..15); # Zerinvary Lajos, Jan 26 2008
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MATHEMATICA
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Table[n^(n+5), {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)
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PROG
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(MAGMA) [n^(n+5): n in [0..20]]; // Vincenzo Librandi, Jun 11 2013
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CROSSREFS
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Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008790.
Sequence in context: A239441 A240931 A185488 * A201239 A013700 A232995
Adjacent sequences: A008788 A008789 A008790 * A008792 A008793 A008794
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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