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A330716 n-th Gosper hyperfactorial of n.

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%I A330716 #24 Jan 15 2020 01:05:53
%S A330716 1,1,16,1952152956156672
%N A330716 n-th Gosper hyperfactorial of n.
%C A330716 Gosper's m-th hyperfactorial of n is the product 1^(1^m)*2^(2^m)*3^(3^m)*...*n^(n^m).
%C A330716 The 0th hyperfactorial is the factorial function.
%D A330716 R. W. Gosper, "Fac Fun" (ca. 1979).
%H A330716 R. W. Gosper, <a href="/A330716/a330716.pdf">Gosper's facfun document</a>
%e A330716 n=3: a(3) = 1^(1^3)*2^(2^3)*3^(3^3) = 2^8 * 3^27.
%e A330716 a(4) has 198 decimal digits and a(5) has 2927 digits.
%t A330716 nmax:=3; Table[Product[i^(i^n),{i,1,n}],{n,0,nmax}] (* _Stefano Spezia_, Dec 29 2019 *)
%Y A330716 Cf. A000142, A002109, A051675, A255321, A255323, A255344 (0th through 5th Gosper hyperfactorials, respectively).
%K A330716 nonn,easy
%O A330716 0,3
%A A330716 _Greg Huber_, Dec 27 2019