cp's OEIS Frontend

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.

A100731 a(n) = 3^(n!).

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%I A100731 #18 Jul 25 2025 16:01:25
%S A100731 3,3,9,729,282429536481,
%T A100731 1797010299914431210413179829509605039731475627537851106401
%N A100731 a(n) = 3^(n!).
%H A100731 Vincenzo Librandi, <a href="/A100731/b100731.txt">Table of n, a(n) for n = 0..6</a>
%F A100731 From _Vincenzo Librandi_, Dec 16 2012: (Start)
%F A100731 a(n) = a(n-1)^n, a(0)=3.
%F A100731 a(n) = A000244(A000142(n)). (End)
%e A100731 If n=2, 3^(2!) = 9.
%e A100731 If n=3, 3^(3!) = 729.
%e A100731 If n=4, 3^(4!) = 282429536481.
%t A100731 a=3;lst={};Do[a=a^n;AppendTo[lst,a],{n,1,7}];lst (* _Vladimir Joseph Stephan Orlovsky_, May 26 2009 *)
%t A100731 Table[3^n!, {n, 0, 9}] (* _Vincenzo Librandi_, Dec 16 2012 *)
%o A100731 (Magma) [3^Factorial(n): n in [0..7]]; // _Vincenzo Librandi_, Dec 16 2012
%o A100731 (Maxima) makelist(3^(n!),n,0,5); /* _Martin Ettl_, Dec 27 2012 */
%Y A100731 Cf. A000142, A000244, A050923.
%K A100731 nonn
%O A100731 0,1
%A A100731 _Parthasarathy Nambi_, Jan 12 2005