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 A354616 #12 Jul 21 2022 03:07:24 %S A354616 3,7,9,10,12,15,19,21,25,31,34,36,37,40,41,42,45,46,54,56,58,63,69,73, %T A354616 77,81,85,89,91,99,109,127,132,136,137,141,142,144,145,146,148,150, %U A354616 151,153,154,157,165,166,167,170,173,175,177,178,181,182,184,185,187 %N A354616 Numbers such that every bit in its binary expansion is in a substring of length A342263(n) that appears more than once. %C A354616 This list contains all terms of the form 2^n - 1 for n >= 2. %e A354616 The binary expansion of 8501 is 10000100110101, and there are A354614(8501) = 5 repeated substrings of length A342263(8501) = 3: 101, 100, 010, 001, and 000. Every bit in the binary expansion of 8501 appears in one or more of these substrings, so 8501 is in the list. %e A354616 10000100110101 %e A354616 .........101.. %e A354616 ...........101 %e A354616 100........... %e A354616 .....100...... %e A354616 ....010....... %e A354616 ..........010. %e A354616 ...001........ %e A354616 ......001..... %e A354616 .000.......... %e A354616 ..000......... %Y A354616 Cf. A342263, A354614. %K A354616 base,nonn %O A354616 1,1 %A A354616 _Peter Kagey_, Jul 08 2022