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 A077293 #10 May 16 2020 12:04:49 %S A077293 12,34,567,8,910,111213141516,17181920,2122232425262728,293031, %T A077293 323334353637383940,41424344454647,48, %U A077293 49505152535455565758596061626364,6566,676869707172737475,767778798081828384,85,868788 %N A077293 Partition the concatenation 1234567...of natural numbers into successive strings nontrivially (a(n) is not equal to n) such that the n-th string is a multiple of n. %C A077293 a(1) = 12, a(n) = smallest concatenation of next successive natural numbers that is a multiple of n, or 0 if no such concatenation exists. %C A077293 a(1) = 1 would have given a trivial sequence 1,2,3,4,5.... %C A077293 Every partial concatenation is a left substring of the concatenation of natural numbers. %F A077293 a(n) = A077294(n)*n. - _Jinyuan Wang_, May 16 2020 %e A077293 a(2) = 34 = 2*17; a(7) = 17181920 = 7*2454560. %o A077293 (PARI) lista(nn) = {my(k=0, m); for(n=1, nn, m=k++; while(m%n>0 || m==n, m=eval(Str(m, k++))); print1(m, ", ")); } \\ _Jinyuan Wang_, May 16 2020 %Y A077293 Cf. A077294, A088597, A088598. %K A077293 nonn,base %O A077293 1,1 %A A077293 _Amarnath Murthy_, Nov 03 2002 %E A077293 Corrected and extended by _Ray Chandler_, Oct 18 2003