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

1,2

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.

Sequence in context: A347122 A130110 A342045 * A031275 A306465 A276104

Adjacent sequences: A307588 A307589 A307590 * A307592 A307593 A307594

Keyword

nonn,base,look

Author

Rémy Sigrist, Apr 19 2019

Status

approved