A258714 Decimal expansion of Sum_{k>=0} 1/Product_{i=0..k} (2^(2^i) - 1).

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

Offset

1,2

Links

Table of n, a(n) for n=1..80.

Formula

From Amiram Eldar, Feb 19 2024: (Start)

Equals Sum_{n>=0} 1/A370458(n).

Equals 1/A215016 - 3/2. (End)

Example

1.3556427028548167233332627145907395523398829385994877...

Mathematica

RealDigits[1/NProduct[1 - 1/2^(2^k), {k, 0, Infinity}, WorkingPrecision -> 120] - 3/2][[1]] (* Amiram Eldar, Feb 19 2024 *)

Prog

(PARI) 1/prodinf(k = 0, 1 - 1/2^(2^k)) - 3/2 \\ Amiram Eldar, Feb 19 2024

Crossrefs

Cf. A215016, A258715, A258716, A370458.

Sequence in context: A182262 A273085 A329765 * A143082 A330917 A330912

Adjacent sequences: A258711 A258712 A258713 * A258715 A258716 A258717

Keyword

nonn,cons

Author

N. J. A. Sloane, Jun 15 2015

Status

approved