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A043725 Numbers whose number of runs in the base-2 representation is congruent to 1 mod 4. 3

%I #16 Oct 04 2023 23:44:59

%S 1,3,7,15,21,31,37,41,43,45,53,63,69,73,75,77,81,83,87,89,91,93,101,

%T 105,107,109,117,127,133,137,139,141,145,147,151,153,155,157,161,163,

%U 167,175,177,179,183,185,187,189,197,201,203,205

%N Numbers whose number of runs in the base-2 representation is congruent to 1 mod 4.

%H Harvey P. Dale, <a href="/A043725/b043725.txt">Table of n, a(n) for n = 1..1000</a>

%H Paul Barry, <a href="https://arxiv.org/abs/2107.00442">Conjectures and results on some generalized Rueppel sequences</a>, arXiv:2107.00442 [math.CO], 2021.

%t Select[Range[250],Mod[Length[Split[IntegerDigits[#,2]]],4]==1&] (* _Harvey P. Dale_, Dec 10 2018 *)

%K nonn,base

%O 1,2

%A _Clark Kimberling_

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)