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A358972
a(n) = ((...((n!^(n-1)!)^(n-2)!)^...)^2!)^1!.
2
1, 2, 36, 36520347436056576
OFFSET
1,2
COMMENTS
Like n!^(n-1!)^...^2!^1! (A073581), but with all power operators nested from the left.
This sequence grows roughly doubly-exponentially. - Charles R Greathouse IV, Dec 07 2022
LINKS
FORMULA
a(n) = n!^A000178(n-1). - Charles R Greathouse IV, Dec 07 2022
log log a(n) ~ 0.5*n^2*log^2 n. - Charles R Greathouse IV, Dec 07 2022
EXAMPLE
a(4) = ((4!^3!)^2!)^1! = (24^6)^2 = 191102976^2 = 36520347436056576
PROG
(PARI) a(n) = n!^prod(i=2, n-1, i^(n-i)); \\ Kevin Ryde, Dec 09 2022
CROSSREFS
Cf. A073581 (exponents right to left).
Sequence in context: A283261 A280420 A051459 * A073581 A078081 A077772
KEYWORD
nonn
AUTHOR
Arsen Vardanyan, Dec 07 2022
STATUS
approved