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a(n) = (8n)!/n!^8.
7

%I #14 Sep 08 2022 08:45:06

%S 1,40320,81729648000,369398958888960000,2390461829733887910000000,

%T 18975581770994682860770223800320,

%U 171889289584866507880743491472699801600

%N a(n) = (8n)!/n!^8.

%H Vincenzo Librandi, <a href="/A071550/b071550.txt">Table of n, a(n) for n = 0..100</a>

%t Table[(8 n)!/(n)!^8, {n, 0, 20}] (* _Vincenzo Librandi_, Aug 13 2014 *)

%o (Magma) [Factorial(8*n)/Factorial(n)^8: n in [0..20]]; // _Vincenzo Librandi_, Aug 13 2014

%Y Sequences (k*n)!/n!^k: A000984 (k = 2), A006480 (k = 3), A008977 (k = 4), A008978 (k = 5), A008979 (k = 6), A071549 (k = 7), A071551 (k = 9), A071552 (k = 10).

%K nonn

%O 0,2

%A _Benoit Cloitre_, May 30 2002