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 A382176 #5 Mar 19 2025 09:03:40 %S A382176 1,2,36,38,644,646,682,11556,11558,11592,12198,12238 %N A382176 Numbers k such that the period of 1/k when expanded in golden ratio base is palindromic. %C A382176 a(13) > 80000, if it exists. %e A382176 n | a(n) | period (row n of A382172) %e A382176 --+------+----------------------------------------------------------------------- %e A382176 1 | 1 | 0 %e A382176 2 | 2 | 0, 1, 0 %e A382176 3 | 36 | 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 %e A382176 4 | 38 | 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 %t A382176 q[k_] := PalindromeQ[RealDigits[1/k, GoldenRatio, A001175[k], -1][[1]]]; Select[Range[1000], q] (* using A001175[n] from A001175 *) %Y A382176 Cf. A330722, A362781, A373085, A382172, A382173, A382174, A382175. %K A382176 nonn,base,more %O A382176 1,2 %A A382176 _Amiram Eldar_, Mar 17 2025