A350077 Decimal expansion of infinite sum: 1/(2^(-1)) + 1/(2^(3^(-1))) + 1/(2^(3^(4^(-1)))) + 1/(2^(3^(4^(5^(-1))))) + ...

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

Offset

1,1

Links

Table of n, a(n) for n=1..128.

Example

3.24746469181893769889709161989...
From Jon E. Schoenfield, Dec 12 2021: (Start)
The partial sum through the 1/(2^(3^(4^(5^(-1))))) term agrees with the infinite sum to more than 250 decimal digits.
.
  k  Sum_{j=2..k} 1/2^(...^(k^(-1))...)  last term added
  -  ----------------------------------  ----------------------------------
  2  2.0                                 2.0
  3  2.79370052598409973737585281963...  0.79370052598409973737585281963...
  4  3.19532691964931766504830314874...  0.40162639366521792767245032910...
  5  3.24746469181893769889709161989...  0.05213777216962003384878847115...
  6  3.24746469181893769889709161989...  3.361969601729727422691...*10^-253
  7  3.24746469181893769889709161989...  1/10^(10^31089.314380144389689...)
(End)

Crossrefs

Sequence in context: A368218 A352419 A209706 * A134571 A054086 A163329

Adjacent sequences: A350074 A350075 A350076 * A350078 A350079 A350080

Keyword

nonn,cons

Author

Lukáš Backa, Dec 12 2021

Status

approved