A341325 Decimal expansion of (1/2)^(2/3)^...^(n/(n+1))^... .

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Example

0.604407600444447842412203840443406857098633311299855...

Mathematica

digits = 120; difs = 1; sold = 0; n = 10; While[Abs[difs] > 10^(-digits - 5), s = N[n/(n + 1), 1000]; Do[s = (m/(m + 1))^s, {m, n - 1, 1, -1}]; difs = s - sold; sold = s; n++]; RealDigits[s, 10, 120][[1]] (* Vaclav Kotesovec, Feb 17 2021 *)

Crossrefs

Cf. A242759, A242760, A341324.

Sequence in context: A209835 A344973 A298528 * A021947 A073010 A100120

Adjacent sequences: A341322 A341323 A341324 * A341326 A341327 A341328

Keyword

nonn,cons

Author

Koksal Karakus, Feb 08 2021

Extensions

More digits from Alois P. Heinz, Feb 16 2021

Status

approved