A193359 Decimal expansion of Sum_{n>=1} 1/floor(2^n/n).

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

Offset

1,1

Links

Table of n, a(n) for n=1..100.

Example

2.14286086385492995674940003250198808208243748334997...

Mathematica

With[{ndig = 120}, RealDigits[N[Sum[1/Floor[2^n/n], {n, 1, Ceiling[4*ndig]}], ndig]][[1]]] (* Amiram Eldar, Mar 27 2026 *)

Prog

(PARI) suminf(n=1, 1/(2^n\n)) \\ Charles R Greathouse IV, Jul 24 2011

Crossrefs

Cf. A000799.

Sequence in context: A076736 A137206 A182906 * A344613 A106489 A132280

Adjacent sequences: A193356 A193357 A193358 * A193360 A193361 A193362

Keyword

nonn,cons

Author

Yalcin Aktar, Jul 24 2011

Status

approved