A293792 Numbers k such that (d(k), d(k+1)) = (0,0) in the base-2 digits d(i) of e.

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

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