This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A379059 #26 Feb 02 2025 14:22:41 %S A379059 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, %T A379059 43,49,50,51,64,63,62,61,65,66,67,68,69,70,71,72,73,82,83,84,85,86,87, %U A379059 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 %N A379059 Index of n in A377091, or -1 if n does not appear there. %C A379059 It is conjectured that every integer appears in A377091. %C A379059 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 %C A379059 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 %H A379059 N. J. A. Sloane, <a href="/A379059/b379059.txt">Table of n, a(n) for n = 0..10000</a> %H A379059 Paolo Xausa, <a href="/A379059/a379059.png">Scatterplot of |a(n) - 2*n| for n <= 100000.</a> The orange line is sqrt(2*n). %Y A379059 Cf. A377091, A379060, A379786. %K A379059 nonn %O A379059 0,3 %A A379059 _N. J. A. Sloane_, Dec 26 2024