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 A330716 n-th Gosper hyperfactorial of n. 3
 1, 1, 16, 1952152956156672 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 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. REFERENCES R. W. Gosper, "Fac Fun" (ca. 1979). LINKS Table of n, a(n) for n=0..3. R. W. Gosper, Gosper's facfun document 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 Cf. A000142, A002109, A051675, A255321, A255323, A255344 (0th through 5th Gosper hyperfactorials, respectively). Sequence in context: A291908 A059933 A002488 * A341690 A341689 A243776 Adjacent sequences: A330713 A330714 A330715 * A330717 A330718 A330719 KEYWORD nonn,easy AUTHOR Greg Huber, Dec 27 2019 STATUS approved

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Last modified October 4 15:50 EDT 2023. Contains 365885 sequences. (Running on oeis4.)