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 A343231 #12 Apr 09 2021 11:55:23 %S A343231 0,1,3,2,3,7,6,7,5,4,5,7,6,7,15,14,15,13,12,13,15,14,15,11,10,11,9,8, %T A343231 9,11,10,11,15,14,15,13,12,13,15,14,15,31,30,31,29,28,29,31,30,31,27, %U A343231 26,27,25,24,25,27,26,27,31,30,31,29,28,29,31,30,31,23 %N A343231 A binary encoding of the nonzero digits in balanced ternary representation of n. %C A343231 The ones in the binary representation of a(n) correspond to the nonzero digits in the balanced ternary representation of n. %C A343231 We can extend this sequence to negative indices: a(-n) = a(n) for any n >= 0. %H A343231 Rémy Sigrist, <a href="/A343231/b343231.txt">Table of n, a(n) for n = 0..6561</a> %H A343231 Wikipedia, <a href="https://en.wikipedia.org/wiki/Balanced_ternary">Balanced ternary</a> %F A343231 a(n) = A343228(n) + A343229(n). %e A343231 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 A343231 n a(n) ter(n) bin(a(n)) %e A343231 -- ---- ------ --------- %e A343231 0 0 0 0 %e A343231 1 1 1 1 %e A343231 2 3 1T 11 %e A343231 3 2 10 10 %e A343231 4 3 11 11 %e A343231 5 7 1TT 111 %e A343231 6 6 1T0 110 %e A343231 7 7 1T1 111 %e A343231 8 5 10T 101 %e A343231 9 4 100 100 %e A343231 10 5 101 101 %e A343231 11 7 11T 111 %e A343231 12 6 110 110 %e A343231 13 7 111 111 %e A343231 14 15 1TTT 1111 %e A343231 15 14 1TT0 1110 %o A343231 (PARI) a(n) = { my (v=0, b=1, t); while (n, t=centerlift(Mod(n, 3)); if (t, v+=b); n=(n-t)\3; b*=2); v } %Y A343231 Cf. A059095, A140267, A289831, A343228, A343229, A343230. %K A343231 nonn,look,base %O A343231 0,3 %A A343231 _Rémy Sigrist_, Apr 08 2021