A337128 Decimal expansion of Product_{k>=1} (1+1/k)^(1/k).

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Mathoverflow, Infinite product experimental mathematics question, Apr 21 2010.

Péter Pál Pach and Richárd Palincza, The counting version of a problem of Erdős, arXiv:2009.05305 [math.CO], 2020. Mentions this constant.

Formula

Equals exp(A131688). - Amiram Eldar, Sep 14 2020

Example

3.517487255902369649399793699323864170685620786764938...

Mathematica

First[RealDigits[Exp[NSum[Log[s]/(s(s-1)), {s, 2, Infinity}, NSumTerms -> 1000, Method -> {"NIntegrate", "MaxRecursion" -> 100}, WorkingPrecision -> 100]]]] (* Stefano Spezia, Jun 07 2024 *)

Crossrefs

Cf. A131688.

Sequence in context: A202356 A152204 A114216 * A208509 A086233 A353413

Adjacent sequences: A337125 A337126 A337127 * A337129 A337130 A337131

Keyword

nonn,cons

Author

Michel Marcus, Sep 14 2020

Extensions

More terms from Amiram Eldar, Sep 14 2020

Status

approved