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 A352998 #10 Apr 16 2022 09:33:57 %S A352998 1,2,1,2,2,1,3,1,2,10,2,3,1,2,1,11,2,6,2,10,4,8,3,4,2,3,1,6,1,4,8,6, %T A352998 13,2,12,2,5,5,18,2,9,4,2,3,7,2,3,1,2,1,12,9,6,15,2,4,9,6,2,12,8,4,7, %U A352998 3,6,2,5,8,4,8,2,17,4,5,4,16,2,19,3,14,5,7 %N A352998 a(n) is the least k > 0 such that the binary expansions of A109812(n) and A109812(n + 2*k) have no common 1-bit. %H A352998 Rémy Sigrist, <a href="/A352998/a352998.png">Scatterplot of the first million terms</a> %H A352998 Rémy Sigrist, <a href="/A352998/a352998.txt">C++ program</a> %F A352998 a(n) >= A352999(n). %e A352998 For n = 18: %e A352998 - we have: %e A352998 k A109812(18+2*k) A109812(18) AND A109812(18+2*k) %e A352998 - --------------- ------------------------------- %e A352998 0 33 33 %e A352998 1 11 1 %e A352998 2 19 1 %e A352998 3 21 1 %e A352998 4 13 1 %e A352998 5 15 1 %e A352998 6 22 0 %e A352998 - so a(18) = 6. %o A352998 (C++) See Links section. %Y A352998 Cf. A109812, A352773 (positions of 1's), A352999. %K A352998 nonn,base %O A352998 1,2 %A A352998 _Rémy Sigrist_, Apr 14 2022