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0, 1, 16, 243, 4096, 78125, 1679616, 40353607, 1073741824, 31381059609, 1000000000000, 34522712143931, 1283918464548864, 51185893014090757, 2177953337809371136, 98526125335693359375, 4722366482869645213696
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
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FORMULA
| E.g.f.(x): T(1+2T)(1-T)^(-5); 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 A048993. - Tom Copeland, Oct 03 2011
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MAPLE
| a:=n->add(add(mul(add(1, i=0..n), j=0..n), k=0..n), m=0..n): seq(a(n), n=-1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2007
a:=n->mul(n, k=-1..n):seq(a(n), n=0..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 26 2008
with(finance):seq(futurevalue(1, n-3, n), n=2..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]
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MATHEMATICA
| Table[n^(n+2), {n, 0, 40}] (* From Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)
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CROSSREFS
| Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008791.
Sequence in context: A064232 A074153 A119933 * A138460 A183431 A110394
Adjacent sequences: A008785 A008786 A008787 * A008789 A008790 A008791
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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