

A330716


nth Gosper hyperfactorial of n.


3




OFFSET

0,3


COMMENTS

Gosper's mth 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.


REFERENCES

R. W. Gosper, "Fac Fun" (ca. 1979).


LINKS



EXAMPLE

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.


MATHEMATICA

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


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



