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 A302544 #27 Jul 21 2018 15:53:20 %S A302544 0,2,1,3,8,10,6,11,4,9,5,7,12,14,13,15,26,34,18,32,40,42,35,43,24,38, %T A302544 16,27,41,46,30,44,19,33,17,22,36,47,25,39,20,28,21,23,31,45,29,37,48, %U A302544 50,49,51,56,58,54,59,52,57,53,55,60,62,61,63,74,106,66 %N A302544 Lexicographically earliest sequence of distinct nonnegative numbers such that for any n >= 0, A065359(a(n)) = - A065359(n). %C A302544 This sequence is a self-inverse permutation of the nonnegative numbers, with fixed points A039004. %C A302544 We can build an analog of this sequence for any base b > 1 by considering the alternating sum of digits in base b instead of A065359. %C A302544 This sequence has similarities with A298847. %C A302544 The scatter plots have an interesting, "fibrous" look. - _Antti Karttunen_, Jul 21 2018 %H A302544 Rémy Sigrist, <a href="/A302544/b302544.txt">Table of n, a(n) for n = 0..16384</a> %H A302544 Rémy Sigrist, <a href="/A302544/a302544.png">Colored scatterplot of the first 2^16 terms</a> (where the color is function of A065359(n)) %H A302544 Rémy Sigrist, <a href="/A302544/a302544_1.png">Scatterplot of the first 3^10 terms of the base 3 analog of this sequence</a> %H A302544 Rémy Sigrist, <a href="/A302544/a302544_3.png">Scatterplot of the first 4^10 terms of the base 4 analog of this sequence</a> %H A302544 Rémy Sigrist, <a href="/A302544/a302544_2.png">Scatterplot of the first 10^6 terms of the base 10 analog of this sequence</a> %H A302544 Rémy Sigrist, <a href="/A302544/a302544_4.png">Scatterplot of the first 10!/2 terms of the factorial base analog of this sequence</a> %H A302544 Rémy Sigrist, <a href="/A302544/a302544.txt">C++ program for A302544</a> %H A302544 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a> %e A302544 The first terms, alongside the binary representations of n and of a(n), and A065359(n), are: %e A302544 n a(n) bin(n) bin(a(n)) A065359(n) %e A302544 -- ---- ------ --------- ---------- %e A302544 0 0 0 0 0 %e A302544 1 2 1 10 1 %e A302544 2 1 10 1 -1 %e A302544 3 3 11 11 0 %e A302544 4 8 100 1000 1 %e A302544 5 10 101 1010 2 %e A302544 6 6 110 110 0 %e A302544 7 11 111 1011 1 %e A302544 8 4 1000 100 -1 %e A302544 9 9 1001 1001 0 %e A302544 10 5 1010 101 -2 %e A302544 11 7 1011 111 -1 %e A302544 12 12 1100 1100 0 %e A302544 13 14 1101 1110 1 %e A302544 14 13 1110 1101 -1 %e A302544 15 15 1111 1111 0 %e A302544 16 26 10000 11010 1 %e A302544 17 34 10001 100010 2 %e A302544 18 18 10010 10010 0 %e A302544 19 32 10011 100000 1 %e A302544 20 40 10100 101000 2 %o A302544 (C++) See Links section. %Y A302544 Cf. A039004 (fixed points), A065359, A298847. %K A302544 nonn,look,base %O A302544 0,2 %A A302544 _Rémy Sigrist_, Apr 09 2018