A330716 n-th Gosper hyperfactorial of n.

1, 1, 16, 1952152956156672

Offset: 0

Author

Greg Huber, Dec 27 2019

Keywords

• nonn
• easy

Comments

Gosper's m-th hyperfactorial of n is the product 1^(1^m)*2^(2^m)*3^(3^m)*...*n^(n^m).

The 0th hyperfactorial is the factorial function.

Examples

			n=3: a(3) = 1^(1^3)*2^(2^3)*3^(3^3) = 2^8 * 3^27.
a(4) has 198 decimal digits and a(5) has 2927 digits.
		

References

• R. W. Gosper, "Fac Fun" (ca. 1979).

Links

• R. W. Gosper, Gosper's facfun document

Crossrefs

Cf. A000142, A002109, A051675, A255321, A255323, A255344 (0th through 5th Gosper hyperfactorials, respectively).

Programs

Mathematica

nmax:=3; Table[Product[i^(i^n),{i,1,n}],{n,0,nmax}] (* Stefano Spezia, Dec 29 2019 *)