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A102687 Number of different squares of mappings of a finite set of n elements into itself. +0
13
1, 3, 12, 100, 1075, 13356, 197764, 3403576, 66159405 (list; graph; listen)
OFFSET

1,2

COMMENT

Let A be a finite set of cardinal n, F be the set of mappings from A to A and F_2 be the subset of F including all g such that there exists f in F with g = fof (composition of f with itself). Then a(n) = #F_2.

CROSSREFS

Cf. A102709.

Sequence in context: A162055 A067300 A133359 this_sequence A141535 A111485 A080447

Adjacent sequences: A102684 A102685 A102686 this_sequence A102688 A102689 A102690

KEYWORD

nonn,more

AUTHOR

Eric Wegrzynowski (Eric.Wegrzynowski(AT)lifl.fr), Feb 03 2005

EXTENSIONS

a(7) from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 05 2005

a(8) and a(9) from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 18 2006

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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