This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A260754 #63 Sep 08 2022 08:46:13 %S A260754 3,40,1008,5702400,566092800,27360571392000,7155594141696000, %T A260754 1360632459941314560000,384424434510421824110592000000, %U A260754 283546160488893890266398720000000 %N A260754 a(n) = prime(n+1)! / prime(n). %F A260754 a(n) = prime(n+1)! / prime(n) = A039716(n+1) / A000040(n). %F A260754 10^(n-1)|a(n+3) for n>=0. - _G. C. Greubel_, Aug 20 2015 %e A260754 a(2) = 5! / 3 = 40. %p A260754 A260754:=n->ithprime(n+1)!/ithprime(n): seq(A260754(n), n=1..20); # _Wesley Ivan Hurt_, Aug 20 2015 %t A260754 Table[Prime[i+1] !/Prime[i], {i,20}] (* _G. C. Greubel_, Aug 20 2015 *) %o A260754 (PARI) vector(15, n, prime(n+1)!/prime(n)) \\ _Michel Marcus_, Aug 20 2015 %o A260754 (Magma) [Factorial(NthPrime(n+1))/NthPrime(n) : n in [1..10]]; // _Wesley Ivan Hurt_, Aug 20 2015 %Y A260754 Cf. A000040, A039716, A072472. %K A260754 nonn,easy %O A260754 1,1 %A A260754 _Altug Alkan_, Aug 20 2015