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a(n) = (7n)!/7^n.
2

%I #15 Jan 29 2026 20:21:38

%S 1,720,1779148800,148953184174080000,126983900296423931904000000,

%T 614812159599342234168301977600000000,

%U 11942354952042770431904585727413846016000000000

%N a(n) = (7n)!/7^n.

%H Vincenzo Librandi, <a href="/A210280/b210280.txt">Table of n, a(n) for n = 0..60</a>

%F E.g.f.: 1/(1-x^7/7).

%t Table[(7 n)!/7^n, {n, 0, 10}] (* _Vincenzo Librandi_, Feb 15 2013 *)

%o (Magma)[Factorial(7*n)/7^n: n in [0..10]]; // _Vincenzo Librandi_, Feb 15 2013

%Y Cf. A210279, A210278, A210277, A000680, A067630, A084939, A084940, A084941, A084942, A084943, A084944, A087127, A001147, A132101

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Apr 12 2012