A248814 - OEIS

%I #33 Sep 08 2022 08:46:10

%S 1,1,924,17153136,2308743493056,1370874167589326400,

%T 2670177736637149247308800,14007180988362844601443040716800,

%U 171889289584866507880743491472699801600,4439413043841128802009762476941510771390464000

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

%C Column 6 of A187783.

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

%H <a href="/A248814/b248814.txt">Table of n, a(n) for n = 0..54</a>

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

%e 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}.

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

%t Table[(6 n)!/(720^n), {n, 0, 10}] (* _Wesley Ivan Hurt_, Nov 01 2014 *)

%o (Magma) [Factorial(6*n)/(720^n) : n in [0..10]]; // # _Wesley Ivan Hurt_, Nov 01 2014

%Y Cf. A187783.

%K nonn,easy

%O 0,3

%A _Tilman Piesk_, Oct 29 2014