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 A364972 #30 Oct 06 2023 10:31:11 %S A364972 3,4,5,6,7,8,9,10,12,14,15,17,18,19,20,21,22,23,25,27,30,32,35,37,38, %T A364972 39,40,41,43,45,48,49,53,54,57,58,59,63,65,67,68,69,71,72,73,74,75,76, %U A364972 77,79,80,83,85,88,89,90,93,94,95,96,98,100 %N A364972 Bases >= 2 in which the number of zeros needed to write the numbers 1 through k never equals k for any k. %C A364972 We gave a theoretical upper bound, and experimentally checked values under that bound. %H A364972 Tanya Khovanova and Gregory Marton, <a href="https://arxiv.org/abs/2305.10357">Archive Labeling Sequences</a>, arXiv:2305.10357 [math.HO], 2023. %H A364972 Gregory Marton and Tanya Khovanova, <a href="https://colab.research.google.com/drive/1pGfgQWvJR1IAG3t4dNnrTnc07UvyV4xC">Archive Labeling Sequences: Code</a> (<a href="https://raw.githubusercontent.com/gregory-marton/vhs/main/archive_labeling_sequences_code.py">raw</a> for text browsers) for supporting code and tables. %e A364972 11 and 13 are not in this sequence because exactly 3152738985031 zeros (expressed here for convenience in decimal) are needed to write the numbers from 1 to 3152738985031, and likewise 3950024143546664 for 13. %Y A364972 Cf. A061217 (shows 10 is a term). %K A364972 nonn,more %O A364972 1,1 %A A364972 _Gregory Marton_ and _Tanya Khovanova_, Aug 14 2023