A307591 - OEIS

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A307591

Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, A000196(2*a(n) + a(n+1)) is a Fibbinary number (A003714).

1, 2, 3, 10, 4, 8, 5, 6, 7, 9, 11, 12, 40, 13, 38, 14, 36, 15, 34, 16, 32, 17, 30, 18, 28, 19, 26, 20, 24, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 174, 52, 152, 42, 172, 56, 144, 43, 170, 60, 136, 44, 168, 64, 128, 45, 166, 68, 120, 46, 164, 72, 112

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This sequence is a variant of A300890 and has interesting graphical features.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000 (amended by Georg Fischer, May 05 2019)

Rémy Sigrist, Scatterplot of the first 150000 terms

PROG

(PARI) s=0; v=1; for (n=1, 64, print1 (v ", "); s+=2^v; for (o=1, oo, if (!bittest(s, o), f=sqrtint(2*v+o); if (bitand(f, 2*f)==0, v=o; break))))

CROSSREFS

Cf. A000196, A003714, A300890.