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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
OFFSET
1,1
COMMENTS
This sequence together with A293793, A293794, and A293795 partition the positive integers.
LINKS
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
KEYWORD
nonn,easy,base
AUTHOR
Clark Kimberling, Oct 19 2017
STATUS
approved