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 A334639 #16 Jan 09 2025 08:02:17 %S A334639 2,5,26,159,1447,10274,45206,280278,2298281,2757938,22615092,56537732, %T A334639 118729239,1080436075,5942398413,18421435081,22105722098,179056348994, %U A334639 859470475172,1804887997862,4331731194869,40718273231769,378679941055453,1173907817271905,6573883776722668,55878012102142678,469375301657998496,2910126870279590676,17751773908705503124,85208514761786414996 %N A334639 Lexicographically earliest infinite sequence of distinct positive integers such that the result of the division of a(n+1) by a(n) starts with the decimal number [a.b] with a = the rightmost digit of a(n), b = the leftmost digit of a(n+1) and the decimal point = the comma between a(n) and a(n+1). %C A334639 Some light backtracking is needed sometimes to let the sequence go to infinity (especially when a new integer ends in zero: we then increase it by 1). %D A334639 Eric Angelini, message to the Math-Fun mailing list on May 3rd 2020. %H A334639 Jean-Marc Falcoz, <a href="/A334639/b334639.txt">Table of n, a(n) for n = 1..133</a> %e A334639 The sequence starts with 2, 5, 26, 159, 1447, 10274, 45206,... %e A334639 a(2) = 5 divided by a(1) = 2 is 2.5; %e A334639 a(3) = 26 divided by a(2) = 5 starts with 5.2; %e A334639 a(4) = 159 divided by a(3) = 26 starts with 6.1; %e A334639 a(5) = 1447 divided by a(4) = 159 starts with 9.1; %e A334639 a(6) = 10274 divided by a(5) = 1447 starts with 7.1; %e A334639 a(7) = 45206 divided by a(6) = 10274 starts with 4.4; etc. %Y A334639 Cf. A121805. %K A334639 base,nonn %O A334639 1,1 %A A334639 _Eric Angelini_ and _Jean-Marc Falcoz_, May 07 2020