A319432 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.

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, 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, 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

Offset

1,1

Comments

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.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..25000

Prog

(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

Crossrefs

Cf. A003714, A005614, A014417, A129761,

Sequence in context: A216975 A275666 A330666 * A115033 A214630 A093396

Adjacent sequences: A319429 A319430 A319431 * A319433 A319434 A319435

Keyword

nonn

Author

N. J. A. Sloane, Sep 30 2018

Status

approved