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 A114574 #25 Sep 21 2024 15:17:45 %S A114574 4,18,600,35280,439084800,80951270400,6046686277632000, %T A114574 2311256907767808000,594596384994354462720000, %U A114574 256411097818451356681764864000000,254907998279515607349492449280000000,509258864375374766713691244518493388800000000,1371553591139716091434972544191070818271232000000000 %N A114574 a(n) = p*p! where p = prime(n). %D A114574 Originally published on Nov 09 2004 by indiejade(AT)gmail.com %F A114574 a(n) = A000040(n)*A039716(n). - _Michel Marcus_, Feb 08 2015 %F A114574 a(n) = A001563(A000040(n)). - _Michel Marcus_, Aug 04 2015 %e A114574 2 * 2! = 4, 3 * 3! = 18, 5 * 5! = 600. %t A114574 Array[Prime[#] Prime[#]! &, 13] (* _Michael De Vlieger_, Aug 04 2015 *) %t A114574 #*#!&/@Prime[Range[15]] (* _Harvey P. Dale_, Sep 21 2024 *) %o A114574 (Magma) [p*Factorial(p): p in PrimesUpTo(50)]; // _Vincenzo Librandi_, Jun 09 2013 %o A114574 (Python) %o A114574 from sympy import factorial, prime %o A114574 def a(n): p = prime(n); return p * factorial(p) %o A114574 print([a(n) for n in range(1, 14)]) # _Michael S. Branicky_, Apr 18 2021 %Y A114574 Cf. A000040 (prime(n)), A039716 (prime(n)!). %K A114574 nonn %O A114574 1,1 %A A114574 L. Shawnee Cook (shawneecook(AT)gmail.com), Feb 17 2006