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A126779 a(n) is equal to the number of functions f:{1,2,...,n}->{1,2,...,n} such that Im(f) contains 3 fixed elements. +0
2
6, 60, 750, 11340, 201726, 4131036, 95750430, 2478397020, 70864914846, 2218385781612, 75463626886830, 2771883228523500, 109340261175108606, 4609962410815813308, 206883575626027168830, 9846362287666897852860 (list; graph; listen)
OFFSET

3,1

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

a(n)=n^n-3*(n-1)^n+3*(n-2)^n-(n-3)^n, (n=3,4,...)

EXAMPLE

a(7)=201726

MAPLE

a:=n->n^n-3*(n-1)^n+3*(n-2)^n-(n-3)^n;

CROSSREFS

Sequence in context: A000894 A112117 A065944 this_sequence A120973 A101470 A066151

Adjacent sequences: A126776 A126777 A126778 this_sequence A126780 A126781 A126782

KEYWORD

nonn

AUTHOR

Aleksandar M. Janjic and Milan R. Janjic (agnus(AT)blic.net), Feb 18 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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