A341863 - OEIS

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A341863

Decimal expansion of (4/1)^(9/4)^...^((n+1)^2/n^2)^... .

4, 4, 1, 7, 6, 3, 4, 7, 7, 9, 0, 3, 6, 2, 3, 0, 4, 3, 7, 4, 1, 9, 0, 4, 6, 0, 0, 9, 0, 6, 3, 5, 4, 7, 7, 6, 6, 9, 9, 9, 2, 7, 5, 4, 3, 3, 0, 4, 5, 8, 7, 1, 3, 3, 1, 7, 6, 0, 0, 6, 3, 4, 0, 3, 2, 3, 5, 9, 9, 2, 2, 6, 9, 2, 8, 5, 9, 1, 9, 4, 2, 8, 3, 3, 3, 4, 7, 7, 4, 1, 1, 5, 6, 9, 8, 3, 7, 2, 1, 8, 7, 3, 1, 7, 3

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

11,1

LINKS

Table of n, a(n) for n=11..115.

EXAMPLE

44176347790.3623043741904600906354776699927543304587133176...

MATHEMATICA

digits = 120; difs = 1; sold = 0; n = 10; While[Abs[difs] > 10^(-digits - 5), s = N[(n + 1)^2/n^2, 1000]; Do[s = ((m + 1)^2/m^2)^s, {m, n - 1, 1, -1}]; difs = s - sold; sold = s; n++]; RealDigits[s, 10, 120][[1]] (* Vaclav Kotesovec, Mar 03 2021 *)

CROSSREFS

Cf. A341324, A341325, A242759, A242760, A102575.

Sequence in context: A016495 A335826 A337191 * A047213 A128213 A171716

Adjacent sequences: A341860 A341861 A341862 * A341864 A341865 A341866

KEYWORD

nonn,cons

AUTHOR

Koksal Karakus, Feb 21 2021

EXTENSIONS

More digits from Alois P. Heinz, Mar 02 2021

STATUS

approved