A067039 -id:A067039 - cp's OEIS frontend

A358972 a(n) = ((...((n!^(n-1)!)^(n-2)!)^...)^2!)^1!.

1, 2, 36, 36520347436056576

Offset: 1

Arsen Vardanyan, Dec 07 2022

nonn

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

			a(4) = ((4!^3!)^2!)^1! = (24^6)^2 = 191102976^2 = 36520347436056576

Arsen Vardanyan, Table of n, a(n) for n = 1..5

Cf. A000178, A067039.

Cf. A073581 (exponents right to left).

a(n) = n!^prod(i=2,n-1,i^(n-i)); \\ Kevin Ryde, Dec 09 2022

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

A209300 a(n) = (n+1)^((n+1)!) mod (n!)^n.

Original entry on oeis.org

0, 1, 208, 302113, 12135038976, 53366922838224001, 60766008114261830429310976, 6922077673356416725162445396958387201, 84806450837637486354121195943915016945664000000000, 120401303109437699738873226784807398144004603135278868200044928001

Offset: 1

Martin Ettl, Jan 18 2013

CF. A067039, A187751.

makelist(mod((n+1)^((n+1)!),(n!)^n),n,1,10);

Offset changed to 1 by Georg Fischer, Mar 31 2025

cp's OEIS Frontend

A358972 a(n) = ((...((n!^(n-1)!)^(n-2)!)^...)^2!)^1!.

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