A379059 Index of n in A377091, or -1 if n does not appear there.

0, 1, 2, 5, 6, 7, 10, 11, 12, 22, 23, 24, 25, 21, 33, 34, 35, 36, 32, 46, 45, 44, 48, 47, 52, 43, 49, 50, 51, 64, 63, 62, 61, 65, 66, 67, 68, 69, 70, 71, 72, 73, 82, 83, 84, 85, 86, 87, 88, 89, 90, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 188

Offset: 0

Author

N. J. A. Sloane, Dec 26 2024

Keywords

• nonn

Comments

It is conjectured that every integer appears in A377091.

Conjecture 1: For n >= 10, |a(n) - 2*n| < 2*sqrt(n); for n >= 1000, |a(n) - 2*n| < 1.59*sqrt(n) (compare A379786). - N. J. A. Sloane, Jan 19 2025

Conjecture 2: lim sup |a(n) - 2*n|/sqrt(n) = sqrt(2) as n -> oo. - N. J. A. Sloane and Paolo Xausa, Feb 02 2025

Links

• N. J. A. Sloane, Table of n, a(n) for n = 0..10000
• Paolo Xausa, Scatterplot of |a(n) - 2*n| for n <= 100000. The orange line is sqrt(2*n).

Crossrefs

Cf. A377091, A379060, A379786.