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A293792 Numbers k such that (d(k), d(k+1)) = (0,0) in the base-2 digits d(i) of e. 4
14, 15, 16, 23, 24, 30, 31, 36, 37, 51, 58, 79, 80, 88, 89, 92, 93, 94, 95, 96, 97, 100, 105, 113, 119, 125, 126, 134, 135, 142, 147, 148, 154, 155, 156, 157, 163, 168, 169, 177, 186, 198, 204, 205, 206, 209, 216, 219, 220, 221, 222, 225, 226, 231, 232, 236 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence together with A293793, A293794, and A293795 partition 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 (0,0) first occurs as (a(14),a(15)).

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]], {0, 0}][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 24 2021 *)

CROSSREFS

Cf. A004593, A293793, A293794, A293795.

Sequence in context: A163482 A257782 A206447 * A308974 A130687 A173687

Adjacent sequences: A293789 A293790 A293791 * A293793 A293794 A293795

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Oct 19 2017

STATUS

approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)