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A081544 Decimal expansion of Sum_(1/(2^q-1)) with the summation extending over all pairs of integers (p,q)=1, 0 < p/q < phi, where phi is the Golden ratio. 0
1, 8, 6, 9, 9, 1, 9, 9, 4, 0, 0, 2, 1, 8, 8, 9, 5, 6, 4, 5, 6, 7, 0, 5, 0, 0, 9, 3, 1, 9, 0, 1, 6, 6, 6, 3, 1, 8, 6, 2, 4, 6, 2, 9, 6, 0, 9, 7, 2, 1, 1, 3, 3, 3, 7, 5, 2, 0, 2, 0, 2, 5, 8, 3, 7, 2, 9, 9, 9, 0, 0, 8, 2, 5, 8, 7, 5, 0, 6, 3, 2, 6, 5, 1, 6, 5, 5, 5, 7, 8, 8, 0, 6, 7, 2, 2, 7, 0, 6, 9, 4, 9, 8, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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/phi) = 1.86991994002....

MATHEMATICA

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

CROSSREFS

Cf. A001622 (golden ratio).

Sequence in context: A155680 A249103 A116517 * A302517 A326285 A104668

Adjacent sequences:  A081541 A081542 A081543 * A081545 A081546 A081547

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Apr 21 2003

STATUS

approved

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Last modified September 19 10:53 EDT 2021. Contains 347556 sequences. (Running on oeis4.)