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

0,3

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.

Sequence in context: A039015 A379072 A379075 * A379807 A037453 A014528

Adjacent sequences: A379056 A379057 A379058 * A379060 A379061 A379062

Keyword

nonn

Author

N. J. A. Sloane, Dec 26 2024

Status

approved