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A066274 Number of endofunctions of [n] such that 1 is not a fixed point. +0
5
0, 2, 18, 192, 2500, 38880, 705894, 14680064, 344373768, 9000000000, 259374246010, 8173092077568, 279577021469772, 10318292052303872, 408700964355468750, 17293822569102704640, 778579070010669895696 (list; graph; listen)
OFFSET

1,2

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

a(n) = n^n - n^(n-1). E.g.f.: T^2/(1-T), where T=T(x) is Euler's tree function (see A000169)

EXAMPLE

a(2)=2: [1->2,2->1],[1->2,2->2]

MAPLE

with(finance):seq(futurevalue(n, n, n), n=0..16); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

CROSSREFS

Cf. A045531, A066275

Sequence in context: A019581 A129627 A138413 this_sequence A052623 A116072 A092882

Adjacent sequences: A066271 A066272 A066273 this_sequence A066275 A066276 A066277

KEYWORD

nonn

AUTHOR

Len Smiley (smiley(AT)math.uaa.alaska.edu), Dec 09 2001

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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