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 A372097 #11 Apr 26 2025 01:29:59
%S A372097 0,2,4,7,16,24,40,49,53,102,104,126,174,226,379,768,831,832,1439,1452,
%T A372097 1914,2291,2731,3000,3363,3472,5608,5883,6725,6787,7438,8786,10280,
%U A372097 11948,12190,13135,15170,15645,22407,26232,27099,32773,33085,40189,40523,48068,51187
%N A372097 Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum.
%C A372097 These are the k-values of the lower envelope of the scatter band of the deviation of the binary weight of 3^k from half the length of the corresponding binary number. The corresponding negated differences are given in A372098.
%H A372097 Hugo Pfoertner, <a href="/A372097/b372097.txt">Table of n, a(n) for n = 1..99</a>
%H A372097 Hugo Pfoertner, <a href="/A372097/a372097.png">Illustration of scatter band bounded by lower and upper records</a>, up to exponents k=8*10^6.
%o A372097 (PARI) a372097(upto) = {my (dm=-oo); for (k=0, upto, my (p=3^k, h=hammingweight(p), b=#binary(p)/2,d=b-h); if (d>dm, print1(k,", "); dm=d))};
%o A372097 a372097(60000)
%Y A372097 Cf. A000120, A000244, A011754, A070939, A078839, A372098, A372099, A372100.
%K A372097 nonn
%O A372097 1,2
%A A372097 _Hugo Pfoertner_, Apr 25 2024