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A110017
Number of games that can be played with a set of 4n cards.
0
1, 38, 17370, 31532760, 152770174200, 1623335272297200, 33237789624004165200, 1195230914866984819824000, 70405077040237339921593072000, 6434319990707289925222982683680000, 873465373058505314477955434719930080000
OFFSET
1,2
REFERENCES
J. P. Delahaye and P. Mathieu, La bataille, enfin analysee, in Pour la Science, pp. 101 No. 215 September 1995 Paris.
FORMULA
a(n) = {(4n)!/(4!)^n + (2n)!/(2!)^n}/2.
PROG
(PARI) a(n) = ((4*n)!/24^n + (2*n)!/2^n)/2 \\ Charles R Greathouse IV, Sep 06 2016
CROSSREFS
Sequence in context: A030260 A145122 A134182 * A181016 A103479 A036174
KEYWORD
fini,full,nonn,easy
AUTHOR
Lekraj Beedassy, Sep 03 2005
STATUS
approved