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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A081477 Complement of A086377. 5
 2, 3, 5, 7, 9, 10, 12, 14, 15, 17, 19, 20, 22, 24, 26, 27, 29, 31, 32, 34, 36, 38, 39, 41, 43, 44, 46, 48, 50, 51, 53, 55, 56, 58, 60, 61, 63, 65, 67, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 85, 87, 89, 90, 92, 94, 96, 97, 99, 101, 102, 104, 106, 108, 109, 111, 113, 114, 116, 118 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The old entry with this sequence number was a duplicate of A003687. Is A086377 the sequence of positions of 1 in A189687? - Clark Kimberling, Apr 25 2011 The answer to Kimberling's question is: yes. See the Bosma-Dekking-Steiner paper. - Michel Dekking, Oct 14 2018 LINKS Muniru A Asiru, Table of n, a(n) for n = 1..5000 Wieb Bosma, Michel Dekking, Wolfgang Steiner, A remarkable sequence related to Pi and sqrt(2), arXiv 1710.01498 math.NT (2018). Wieb Bosma, Michel Dekking, Wolfgang Steiner, A remarkable sequence related to Pi and sqrt(2), Integers, Electronic Journal of Combinatorial Number Theory 18A (2018), #A4. FORMULA Conjectures from Clark Kimberling, Aug 03 2022: (Start) [a(n)*r] = n + [n*r] for n >= 1, where r = sqrt(2) and [ ] = floor. {a(n)*sqrt(2)} > 1/2 if n is in A120753, where { } = fractional part; otherwise n is in A120752. (End) MATHEMATICA t = Nest[Flatten[# /. {0->{0, 1, 1}, 1->{0, 1}}] &, {0}, 5] (*A189687*) f[n_] := t[[n]] Flatten[Position[t, 0]] (* A086377 conjectured *) Flatten[Position[t, 1]] (* A081477 conjectured *) s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0; Table[s[n], {n, 1, 120}] (*A189688*) (* Clark Kimberling, Apr 25 2011 *) CROSSREFS Cf. A086377, A004641, A189687. Sequence in context: A245227 A226249 A076355 * A083033 A022847 A047371 Adjacent sequences: A081474 A081475 A081476 * A081478 A081479 A081480 KEYWORD nonn AUTHOR N. J. A. Sloane, Oct 12 2008 EXTENSIONS Name corrected by Michel Dekking, Jan 04 2019 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.

Last modified November 30 03:08 EST 2023. Contains 367452 sequences. (Running on oeis4.)