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

Offset: 1

Author

Rémy Sigrist, Apr 19 2019

Keywords

• nonn
• base
• look

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

Crossrefs

Cf. A000196, A003714, A300890.

Programs

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))))