A178614 - OEIS

%I #8 Sep 08 2022 08:45:54

%S 1,1,5,42,55440,1235520,8821612800,335221286400,7124122778572800,

%T 221504779785446277120000,17166620433372086476800000,

%U 2210327142511928825790332928000000

%N a(n) = prime(n)!/(n+1)!.

%H G. C. Greubel, <a href="/A178614/b178614.txt">Table of n, a(n) for n = 1..75</a>

%F a(n) = A039716(n)/A000142(n+2) = A177946(n)/(n+1).

%t Table[(Prime[n])!/(n+1)!, {n, 1, 15}] (* _G. C. Greubel_, Jan 29 2019 *)

%o (PARI) vector(15, n, (prime(n))!/(n+1)!) \\ _G. C. Greubel_, Jan 29 2019

%o (Magma) [Factorial(NthPrime(n))/Factorial(n+1): n in [1..15]]; // _G. C. Greubel_, Jan 29 2019

%o (Sage) [factorial(nth_prime(n))/factorial(n+1) for n in (1..15)] # _G. C. Greubel_, Jan 29 2019

%K nonn

%O 1,3

%A _Juri-Stepan Gerasimov_, Jun 05 2010

%E a(7) and a(9) corrected by _R. J. Mathar_, Jun 07 2010