A341324 Decimal expansion of (1/4)^(4/9)^...^(n^2/(n+1)^2)^... .

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

Offset

0,1

Links

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

Example

0.4449047137975709943818158062572891757596036582203842557173...

Mathematica

digits = 120; difs = 1; sold = 0; n = 10; While[Abs[difs] > 10^(-digits - 5), s = N[n^2/(n + 1)^2, 1000]; Do[s = (m^2/(m + 1)^2)^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, A341325.

Sequence in context: A232406 A322040 A085071 * A011412 A183030 A176213

Adjacent sequences: A341321 A341322 A341323 * A341325 A341326 A341327

Keyword

nonn,cons

Author

Koksal Karakus, Feb 08 2021

Extensions

More digits from Alois P. Heinz, Feb 16 2021

Status

approved