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 A341779 #9 Feb 20 2021 04:28:05 %S A341779 3,4,15,16,64,100,195,196,255,256,483,484,676,783,784,1023,1024,1155, %T A341779 1156,1295,1296,1443,1444,1599,1600,1936,2116,2703,2704,3363,3364, %U A341779 3844,4096,4623,4624,4899,4900,5183,5184,5476,5776,6399,6400,6723,6724,7395,7396 %N A341779 Numbers k such that k and k+1 are both anti-tau numbers (A046642). %C A341779 Since the even anti-tau numbers (A268066) are square numbers, all the terms are either of the form 4*k^2 - 1 or 4*k^2. %H A341779 Amiram Eldar, <a href="/A341779/b341779.txt">Table of n, a(n) for n = 1..10000</a> %e A341779 3 is a term since 3 and 4 are both anti-tau numbers: gcd(3, tau(3)) = gcd(3, 2) = 1 and gcd(4, tau(4)) = gcd(4, 3) = 1. %t A341779 antiTauQ[n_] := CoprimeQ[n, DivisorSigma[0, n]]; s = {}; Do[k = 4*n^2; If[antiTauQ[k], If[antiTauQ[k - 1], AppendTo[s, k - 1]]; If[antiTauQ[k + 1], AppendTo[s, k]]], {n, 1, 50}]; s %Y A341779 Subsequence of A046642 and A081350. %Y A341779 Cf. A000010, A009191, A114617, A268066, A341780. %K A341779 nonn %O A341779 1,1 %A A341779 _Amiram Eldar_, Feb 19 2021