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A037960 (n+2)!*n*(3*n+1)/24. 4
0, 1, 14, 150, 1560, 16800, 191520, 2328480, 30240000, 419126400, 6187104000, 97037740800, 1612798387200, 28332944640000, 524813313024000, 10226013557760000, 209144207720448000, 4480594531725312000 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

For n>=1, a(n) is equal to the number of surjections from {1,2,..,n+2} onto {1,2,...,n}. - Aleksandar M. Janjic and Milan R. Janjic (agnus(AT)blic.net), Feb 24 2007

REFERENCES

The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972.

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

PROG

(PARI) n*(3*n+1)*(n+2)!/24 \\ Charles R Greathouse IV, Nov 02 2011

CROSSREFS

Cf. A019538, A001286.

Sequence in context: A009802 A153598 A180347 * A016163 A153884 A154239

Adjacent sequences:  A037957 A037958 A037959 * A037961 A037962 A037963

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.