A061924 Number of combinations in card games with 4 suits and 4 players.

1, 4, 56, 1320, 43680, 1860480, 96909120, 5967561600, 424097856000, 34162713446400, 3075990524006400, 306135476264217600, 33371339479827148800, 3954242643911239680000, 506046613478104258560000, 69560546966425756200960000, 10221346459144248675287040000

Offset: 0

Author

Frank Ellermann, May 16 2001

Keywords

• nonn
• easy

Examples

			a(13) = 52*51*50*49*48*47*46*45*44*43*42*41*40 (Whist, Bridge).
		

Links

• Harry J. Smith, Table of n, a(n) for n=0..100
• Frank Ellermann, Illustration for A001400, A061924

Crossrefs

Cf. A001400.

Programs

Mathematica

Table[(4n)!/(4n-n)!,{n,0,20}] (* Harvey P. Dale, Aug 20 2012 *)

PARI

{ for (n=0, 100, write("b061924.txt", n, " ", (4*n)! / (4*n - n)!) ) } \\ Harry J. Smith, Jul 29 2009

Python

from sympy import ff
def A061924(n): return ff(n<<2,n) # Chai Wah Wu, Sep 01 2023

Formula

a(n) = (4*n)! / (4*n-n)!

E.g.f. in Maple notation: hypergeom([1/2, 1/4, 3/4], [1/3, 2/3], 256*x/27). - Karol A. Penson, Oct 18 2001

Extensions

More terms from Harvey P. Dale, Aug 20 2012