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A081550 Decimal expansion of sum(1/(2^q-1)) with the summation extending over all pairs of integers (p,q)=1 0<p/q<Pi. 0
4, 0, 5, 0, 7, 3, 1, 5, 4, 1, 6, 7, 0, 0, 1, 3, 2, 7, 9, 6, 1, 6, 8, 2, 8, 3, 6, 7, 5, 3, 9, 0, 4, 0, 2, 0, 3, 7, 7, 0, 5, 3, 4, 2, 5, 6, 0, 5, 8, 1, 5, 3, 8, 7, 0, 8, 1, 8, 3, 2, 1, 5, 3, 0, 7, 6, 3, 7, 5, 2, 1, 6, 6, 8, 7, 8, 8, 5, 7, 4, 4, 8, 7, 6, 0, 2, 7, 8, 3, 3, 9, 4, 4, 6, 7, 0, 3, 6, 1, 6, 8, 7, 9, 3, 6 (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

FORMULA

This sum is also equal to sum(k>=1, (1/2)^floor(k/Pi))=4.05073154167001....

MATHEMATICA

RealDigits[ 1/(2^(1/Pi) - 1), 10, 105] // First (* Jean-François Alcover, Feb 15 2013 *)

CROSSREFS

Sequence in context: A055242 A200295 A089389 * A046779 A255369 A292177

Adjacent sequences:  A081547 A081548 A081549 * A081551 A081552 A081553

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Apr 21 2003

STATUS

approved

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Last modified August 22 05:00 EDT 2019. Contains 326172 sequences. (Running on oeis4.)