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A101821 Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n-2} such that |Image(f)|=h, h=1,2,...,n-2; n=3,4,.... 4
2, 3, 42, 4, 180, 600, 5, 620, 5400, 7800, 6, 1890, 36120, 126000, 100800, 7, 5534, 202860, 1428840, 2646000, 1340640, 8, 14280, 1016400, 13053600, 46710720, 53343360, 18627840, 9, 36792, 4702320, 103133520, 642978000, 1380576960 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

T(n, h) = C(n-2, h)*U(n, h), where U(n, h) is the array in A019538.

EXAMPLE

First rows:

2

3 42

4 180 600

5 620 5400 7800

CROSSREFS

Cf. A019538, A101817, A101819.

Sequence in context: A094714 A042475 A123993 * A121475 A196874 A087571

Adjacent sequences:  A101818 A101819 A101820 * A101822 A101823 A101824

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Dec 17 2004

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Last modified February 14 05:09 EST 2012. Contains 205570 sequences.