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 A343229 #13 Apr 09 2021 11:38:23 %S A343229 0,0,1,0,0,3,2,2,1,0,0,1,0,0,7,6,6,5,4,4,5,4,4,3,2,2,1,0,0,1,0,0,3,2, %T A343229 2,1,0,0,1,0,0,15,14,14,13,12,12,13,12,12,11,10,10,9,8,8,9,8,8,11,10, %U A343229 10,9,8,8,9,8,8,7,6,6,5,4,4,5,4,4,3,2,2,1,0 %N A343229 A binary encoding of the digits "-1" in balanced ternary representation of n. %C A343229 The ones in the binary representation of a(n) correspond to the digits "-1" in the balanced ternary representation of n. %C A343229 We can extend this sequence to negative indices: a(-n) = A343228(n) for any n >= 0. %H A343229 Rémy Sigrist, <a href="/A343229/b343229.txt">Table of n, a(n) for n = 0..6561</a> %H A343229 Wikipedia, <a href="https://en.wikipedia.org/wiki/Balanced_ternary">Balanced ternary</a> %F A343229 a(n) = A289831(A060373(n)). %e A343229 The first terms, alongside the balanced ternary representation of n (with "T" instead of digits "-1") and the binary representation of a(n), are: %e A343229 n a(n) ter(n) bin(a(n)) %e A343229 -- ---- ------ --------- %e A343229 0 0 0 0 %e A343229 1 0 1 0 %e A343229 2 1 1T 1 %e A343229 3 0 10 0 %e A343229 4 0 11 0 %e A343229 5 3 1TT 11 %e A343229 6 2 1T0 10 %e A343229 7 2 1T1 10 %e A343229 8 1 10T 1 %e A343229 9 0 100 0 %e A343229 10 0 101 0 %e A343229 11 1 11T 1 %e A343229 12 0 110 0 %e A343229 13 0 111 0 %e A343229 14 7 1TTT 111 %e A343229 15 6 1TT0 110 %o A343229 (PARI) a(n) = { my (v=0, b=1, t); while (n, t=centerlift(Mod(n, 3)); if (t==-1, v+=b); n=(n-t)\3; b*=2); v } %Y A343229 Cf. A059095, A060373, A140267, A289814, A289831, A343228, A343230, A343231, A005836 (indices of 0's). %K A343229 nonn,look,base %O A343229 0,6 %A A343229 _Rémy Sigrist_, Apr 08 2021