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 A352689 #17 Apr 14 2022 15:18:23 %S A352689 10,2,1002,13,14,1005,10000006,8,18,1000018,38,10000000038,1048,1058, %T A352689 10000068,1000000000000078,98,198,100000000198,398,100000000000000398, %U A352689 100498,100598,100000000698,100000000000000000000798,998,1998,10000000000001998,3998,1000000000000000000003998 %N A352689 a(n) is the last term of the first run of A331786(n) consecutive numbers whose sum of digits (A007953) is not divisible by n. %C A352689 A331786(n) is the number of consecutive integers in the largest such possible run. %H A352689 Diophante, <a href="http://www.diophante.fr/problemes-par-themes/arithmetique-et-algebre/a3-nombres-remarquables/5026-a389-les-decaxphobes">A389 - Les décaXphobes</a> (in French). %F A352689 a(n) = A352688(n) + A331786(n) - 1. %e A352689 a(4) = 1002 because the A331786(4) = 6 consecutive numbers 997, 998, 999, 1000, 1001, 1002 have respectively sum of digits = 25, 26, 27, 1, 2, 3 and none is divisible by 4, and there is no smaller m < 1002 such that sum of digits of m-5, m-4, m-3, m2, m-1, m is not divisible by 4. %Y A352689 Cf. A007953, A331786, A331788, A352688. %K A352689 nonn,base %O A352689 2,1 %A A352689 _Bernard Schott_, Mar 28 2022 %E A352689 More terms from _Jinyuan Wang_, Mar 28 2022