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 A243362 #11 Apr 25 2025 15:08:29 %S A243362 54023,54203,500407,23456789,23458679,23459687,23465789,23465987, %T A243362 23469587,23475869,23478569,23489657,23495867,23496587,23498567, %U A243362 23546879,23546987,23548697,23564897,23564987,23567849,23569487,23576489,23584679,23587649,23589647,23594687 %N A243362 Numbers n such that A243361(n) = 123456789. %C A243362 Supersequence of A243363, A243364 and A160402. %C A243362 Conjecture 1: sequence is infinite. %C A243362 Conjecture 2: a(1), a(2) and a(3) are composites; there are no other numbers n > 3 such that a(n) = composite number. %F A243362 a(1) = 54023; a(2) = 54203; a(3) = 500407; a(4) … a(3101) = A160402; a(3102) ... a(22659) = A243363; .... %e A243362 Sets of divisors of a(n): (1, 89, 607, 54023); (1, 67, 809, 54203); (1, 83, 6029, 500407); (1, 23456789); … %o A243362 (Magma) [n: n in [1..1000000] | Seqint(Reverse(Sort(&cat[(Intseq(k)): k in Divisors(n)]))) eq 123456789]; %Y A243362 Cf. A160402, A243360, A243361, A243363, A243364. %K A243362 nonn,base %O A243362 1,1 %A A243362 _Jaroslav Krizek_, Jun 04 2014