login
2nd Euler polynomial evaluated at x=n!.
2

%I #24 Aug 05 2024 04:06:47

%S 0,0,2,30,552,14280,517680,25396560,1625662080,131681531520,

%T 13168185811200,1593350882323200,229442532323558400,

%U 38775788037405619200,7600054456464819148800,1710012252722891749632000,437763136697374129754112000

%N 2nd Euler polynomial evaluated at x=n!.

%F a(n) = n!*(n!-1). - _Mark van Hoeij_, May 13 2013

%F a(n) = A000142(n)*A000142(n-1). - _Michel Marcus_, Apr 15 2015

%t Table[n! (n! - 1), {n, 0, 20}] (* _Vincenzo Librandi_, Apr 15 2015 *)

%o (PARI) vector(20, n, n--; (n!)^2-n!) \\ _Michel Marcus_, Apr 15 2015

%o (Magma) [Factorial(n)*(Factorial(n)-1): n in [0..30]]; // _Vincenzo Librandi_, Apr 15 2015

%Y Cf. A000142 (n!).

%K nonn,easy

%O 0,3

%A _Simon Plouffe_