A355289 Decimal expansion of Product_{m>=1} Product_{k>=1} (1 + 1/(2^m)^k).

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Formula

Product_{m>=1} Product_{k>=1} (1 + 1/(2^m)^k).

Example

4.207413730774291669037544226942146434913176786382795116883691095299...

Mathematica

digits = 105; NProduct[NProduct[1 + (1/(2^m))^k, {k, 1, Infinity}, WorkingPrecision -> digits+5, NProductFactors -> digits], {m, 1, Infinity}, WorkingPrecision -> digits+5, NProductFactors -> digits]

Crossrefs

Sequence in context: A255324 A328819 A330578 * A245970 A197813 A200496

Adjacent sequences: A355286 A355287 A355288 * A355290 A355291 A355292

Keyword

cons,nonn

Author

Wolfe Padawer, Sep 05 2022

Status

approved