A110017 Number of games that can be played with a set of 4n cards.

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.

Links

Table of n, a(n) for n=1..11.

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

Adjacent sequences: A110014 A110015 A110016 * A110018 A110019 A110020

Keyword

fini,full,nonn,easy

Author

Lekraj Beedassy, Sep 03 2005

Status

approved