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A008788 n^(n+2). +0
3
0, 1, 16, 243, 4096, 78125, 1679616, 40353607, 1073741824, 31381059609, 1000000000000, 34522712143931, 1283918464548864, 51185893014090757, 2177953337809371136, 98526125335693359375, 4722366482869645213696 (list; graph; listen)
OFFSET

0,3

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

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

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]

CROSSREFS

Cf. A000169, A000272, A000312, A007778, A007830, A008785-A008791.

Sequence in context: A064232 A074153 A119933 this_sequence A138460 A110394 A158531

Adjacent sequences: A008785 A008786 A008787 this_sequence A008789 A008790 A008791

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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