A248814 a(n) = (6n)!/(6!^n).

1, 1, 924, 17153136, 2308743493056, 1370874167589326400, 2670177736637149247308800, 14007180988362844601443040716800, 171889289584866507880743491472699801600, 4439413043841128802009762476941510771390464000

Offset: 0

Author

Tilman Piesk, Oct 29 2014

Keywords

• nonn
• easy

Comments

Column 6 of A187783.

Number of permutations of a multiset that contains n different elements, each occurring 6 times.

Examples

			a(3) = (6*3)!/(6!^3) = 17153136 is the number of permutations of a multiset that contains 3 different elements 6 times, e.g., {1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3}.
		

Links

• Table of n, a(n) for n = 0..54

Crossrefs

Cf. A187783.

Programs

Magma

[Factorial(6*n)/(720^n) : n in [0..10]]; // Wesley Ivan Hurt, Nov 01 2014

Maple

A248814:=n->(6*n)!/(720^n): seq(A248814(n), n=0..10); Wesley Ivan Hurt, Nov 01 2014

Mathematica

Table[(6 n)!/(720^n), {n, 0, 10}] (* Wesley Ivan Hurt, Nov 01 2014 *)

Formula

a(n) = (6n)!/(6!^n).