login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081573 Decimal expansion of Sum_(1/(2^q-1)) with the summation extending over all pairs of integers (p,q)=1, 0 < p/q < e = 2.718... . 1
3, 4, 4, 2, 8, 7, 8, 2, 7, 0, 8, 1, 2, 0, 9, 4, 4, 3, 8, 7, 3, 3, 0, 3, 7, 7, 5, 0, 8, 7, 9, 9, 9, 2, 9, 3, 0, 8, 4, 2, 9, 0, 3, 9, 7, 1, 6, 6, 1, 2, 0, 6, 2, 3, 2, 7, 8, 3, 7, 7, 2, 1, 2, 8, 8, 3, 5, 0, 4, 4, 9, 3, 5, 8, 6, 6, 0, 5, 0, 4, 9, 8, 2, 4, 4, 7, 1, 9, 9, 3, 4, 7, 5, 6, 4, 2, 3, 6, 3, 5, 1, 6, 5, 6, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Kevin O'Bryant, A generating function technique for Beatty sequences and other step sequences, Journal of Number Theory, Volume 94, Issue 2, June 2002, Pages 299-319.

FORMULA

This sum is also equal to Sum_{k>=1} (1/2)^floor(k/e) = 3.4428782708....

MATHEMATICA

RealDigits[ 1/(2^(1/E) - 1), 10, 105] // First (* Jean-Fran├žois Alcover, Feb 15 2013 *)

CROSSREFS

Cf. A001113 (e).

Sequence in context: A291086 A209329 A353156 * A106290 A249618 A073498

Adjacent sequences:  A081570 A081571 A081572 * A081574 A081575 A081576

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Apr 21 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 24 12:02 EDT 2022. Contains 356932 sequences. (Running on oeis4.)