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 A326640 #11 Dec 06 2019 21:45:38 %S A326640 10000,100000,10001,10003,10004,10035,10061,10127,10184,10095,10200, %T A326640 10320,23040,12640,13600,10720,12380,12600,13000,10390,23400,15300, %U A326640 13700,19300,10400,14600,14000,40700,30500,15600,14500,15700,25700,30600,10600,68000,20000,17000,67000,48000,28000,95000,70000,10002,10007 %N A326640 For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property. %H A326640 Jean-Marc Falcoz, <a href="/A326640/b326640.txt">Table of n, a(n) for n = 1..5001</a> %e A326640 Here are the first terms of the sequence: %e A326640 10000,100000,10001,10003,10004,10035,10061,10127,... %e A326640 and here are the cumulative sums: %e A326640 10000,110000,120001,130004,140008,150043,160104,170231,... %e A326640 If we align a(n) and its cumulative sum, we see that at least five digits are shared: %e A326640 10000,100000, 10001, 10003, 10004, 10035, 10061, 10127,... %e A326640 10000,110000,120001,130004,140008,150043,160104,170231,... %Y A326640 Cf. A309151 (no digit is shared by the cumulative sum instead of five here), A316914 (one digit is shared), A316915 (two digits shared), A326638 (three digits shared), A326639 (four digits shared). %K A326640 base,nonn %O A326640 1,1 %A A326640 _Eric Angelini_ and _Jean-Marc Falcoz_, Jul 15 2019