1,2

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.

This sum is also equal to Sum_{k>=1} (1/2)^floor(k/phi) = 1.86991994002....

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

Cf. A001622 (golden ratio).

Sequence in context: A155680 A249103 A116517 * A302517 A326285 A104668

Adjacent sequences: A081541 A081542 A081543 * A081545 A081546 A081547

cons,nonn

Benoit Cloitre, Apr 21 2003

approved