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The first differences (A129761) of the tribonacci representation numbers (A003714 or A014417) consists of runs of 1's separated by the terms of the present sequence.
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%I #12 Oct 07 2018 17:59:45

%S 2,3,6,2,11,2,3,22,2,3,6,2,43,2,3,6,2,11,2,3,86,2,3,6,2,11,2,3,22,2,3,

%T 6,2,171,2,3,6,2,11,2,3,22,2,3,6,2,43,2,3,6,2,11,2,3,342,2,3,6,2,11,2,

%U 3,22,2,3,6,2,43,2,3,6,2,11,2,3,86,2,3,6,2,11,2,3,22,2,3,6,2,683,2

%N The first differences (A129761) of the tribonacci representation numbers (A003714 or A014417) consists of runs of 1's separated by the terms of the present sequence.

%C The runs of 1's in A129761 have lengths that apparently are given by the Fibonacci word A005614 (with a slight change at the start). The present sequence shows the terms greater than 1. The structure of this sequence is (partially) analyzed in the comments in A129761.

%H Rémy Sigrist, <a href="/A319432/b319432.txt">Table of n, a(n) for n = 1..25000</a>

%o (PARI) p=0; for (n=1, 2052, if (bitand(n,2*n)==0, if (n-p>1, print1 (n-p ", ")); p=n)) \\ _Rémy Sigrist_, Oct 07 2018

%Y Cf. A003714, A005614, A014417, A129761,

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Sep 30 2018