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 A338453 #12 Feb 04 2023 15:46:55 %S A338453 3,242,243,1837,2361,3693,3728,6061,6457,9782,11181,11721,13855,15177, %T A338453 20017,22591,28021,31461,31887,33098,33993,38137,52016,52112,60321, %U A338453 76897,78542,78745,80461,108394,116017,119541,124453,125493,127117,127417,145369,151805,154113 %N A338453 Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653). %C A338453 Numbers k such that A093653(k) = A093653(k+1) = A093653(k+2). %H A338453 Amiram Eldar, <a href="/A338453/b338453.txt">Table of n, a(n) for n = 1..10000</a> %e A338453 3 is a term since A093653(3) = A093653(4) = A093653(5) = 3. %t A338453 f[n_] := DivisorSum[n, DigitCount[#, 2, 1] &]; s = {}; m = 3; fs = f /@ Range[m]; Do[If[Equal @@ fs, AppendTo[s, n - m]]; fs = Rest @ AppendTo[fs, f[n]], {n, m + 1, 155000}]; s %t A338453 SequencePosition[Table[Total[DigitCount[Divisors[n],2,1]],{n,160000}],{x_,x_,x_}][[All,1]] (* _Harvey P. Dale_, Feb 04 2023 *) %Y A338453 Cf. A093653. %Y A338453 Subsequence of A338452. %Y A338453 Similar sequences: A005238, A006073, A045939. %K A338453 nonn,base %O A338453 1,1 %A A338453 _Amiram Eldar_, Oct 28 2020