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A293794 Numbers k such that (d(k), d(k+1)) = (1,0) in the base-2 digits d(i) of e. 4
1, 3, 6, 13, 18, 20, 22, 26, 29, 33, 35, 39, 41, 45, 48, 50, 53, 55, 57, 61, 63, 65, 67, 74, 78, 82, 84, 87, 91, 99, 104, 110, 112, 118, 124, 130, 133, 137, 141, 146, 150, 153, 162, 167, 171, 174, 176, 180, 183, 185, 188, 190, 193, 195, 197, 203, 208, 212 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence, together with A293792, A293793 and A293795, partitions the positive integers.

LINKS

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

EXAMPLE

(d(i)) = (1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1,...) = A004593, in which (1,0) first occurs as (a(1),a(2)).

MATHEMATICA

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

Take[Map[#[[1]]&, StringPosition[s, "00"]], z] (*A293792*)

Take[Map[#[[1]]&, StringPosition[s, "01"]], z] (*A293793*)

Take[Map[#[[1]]&, StringPosition[s, "10"]], z] (*A293794*)

Take[Map[#[[1]]&, StringPosition[s, "11"]], z] (*A293795*)

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

SequencePosition[RealDigits[E, 2, 250][[1]], {1, 0}][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, May 29 2019 *)

CROSSREFS

Cf. A004593, A293792, A293793, A293795.

Sequence in context: A145604 A053569 A310123 * A115283 A078382 A075651

Adjacent sequences:  A293791 A293792 A293793 * A293795 A293796 A293797

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Oct 20 2017

STATUS

approved

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Last modified September 24 15:58 EDT 2022. Contains 356943 sequences. (Running on oeis4.)