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 A292832 #18 Feb 01 2024 00:08:04 %S A292832 3,3,56953,34225258495 %N A292832 a(n) is the least positive k, not a power of 2, such that the Hamming weight of k equals the Hamming weight of k^n, or 0 if no such k exists. %C A292832 The Hamming weight of a number n is given by A000120(n). %C A292832 Is this sequence positive for every positive integer? %C A292832 a(2) = A292787(2). %C A292832 a(3) = A292788(2). %e A292832 For n = 2: %e A292832 - 1 is a power of 2, %e A292832 - 2 is a power of 2, %e A292832 - A000120(3) = 2 and A000120(3^2) = 2, %e A292832 - hence a(2) = 3. %o A292832 (PARI) a(n) = forstep(k=3, oo, 2, if (hammingweight(k) == hammingweight(k^n), return (k))) %Y A292832 Cf. A000120, A292787, A292788, A363836. %K A292832 nonn,base,hard,more %O A292832 1,1 %A A292832 _Rémy Sigrist_, Sep 24 2017