login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A293763 Numbers k such that (d(k), d(k+1)) = (1,0) in the base-2 digits d(i) of sqrt(2). 4
1, 4, 6, 8, 14, 20, 24, 28, 37, 42, 47, 51, 54, 57, 62, 66, 69, 72, 78, 81, 85, 89, 92, 96, 100, 102, 104, 106, 109, 111, 113, 119, 121, 128, 134, 136, 139, 144, 147, 153, 157, 159, 161, 165, 168, 173, 177, 179, 181, 186, 190, 195, 198, 200, 204, 209, 211 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence together with A293761, A293762, and A293764 partition the positive integers.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

EXAMPLE

(d(i)) = (1,0,1,1,0,1,0,1,0,0,0,0,0,1,...) = A004539, in which (0,1) first occurs as (a(1),a(2)).

MATHEMATICA

z = 100; s = StringJoin[Map[ToString, First[RealDigits[N[Sqrt[2], 10000], 2]]]];

Take[Map[#[[1]]&, StringPosition[s, "00"]], z] (*A293761*)

Take[Map[#[[1]]&, StringPosition[s, "01"]], z] (*A293762*)

Take[Map[#[[1]]&, StringPosition[s, "10"]], z] (*A293763*)

Take[Map[#[[1]]&, StringPosition[s, "11"]], z] (*A293764*)

(* Peter J. C. Moses, Oct 15 2017 *)

CROSSREFS

Cf. A004539, A293761, A293762, A293764.

Sequence in context: A200077 A256137 A116897 * A246324 A280227 A181978

Adjacent sequences:  A293760 A293761 A293762 * A293764 A293765 A293766

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Oct 19 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 22 18:55 EST 2019. Contains 329410 sequences. (Running on oeis4.)