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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
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; cons; graph; listen)
OFFSET

1,2

LINKS

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/phi))=1.86991994002....

CROSSREFS

Sequence in context: A160056 A155680 A116517 this_sequence A104668 A053744 A034085

Adjacent sequences: A081541 A081542 A081543 this_sequence A081545 A081546 A081547

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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