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Search: id:A099762
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A099762 a(n) = n^2 (n+1)^3. +0
1
0, 8, 108, 576, 2000, 5400, 12348, 25088, 46656, 81000, 133100, 209088, 316368, 463736, 661500, 921600, 1257728, 1685448, 2222316, 2888000, 3704400, 4695768, 5888828, 7312896, 9000000, 10985000, 13305708, 16003008, 19120976, 22707000 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) is equal to the number of functions f:{1,2,3,4,5}->{1,2,...,n+1} such that for fixed different x_1, x_2 in {1,2,3,4,5} and fixed y_1, y_2 in {1,2,...,n+1} we have f(x_1)<>y_1 and f(x_2)<>y_2. - Milan R. Janjic (agnus(AT)blic.net), Apr 17 2007

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

MAPLE

a:=n->sum(sum(n^3, j=2..n), k=2..n): seq(a(n), n=1..30); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2007

CROSSREFS

Adjacent sequences: A099759 A099760 A099761 this_sequence A099763 A099764 A099765

Sequence in context: A000845 A027013 A105261 this_sequence A119936 A048543 A120975

KEYWORD

easy,nonn

AUTHOR

Kari Lajunen (Kari.Lajunen(AT)Welho.com), Nov 11 2004

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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