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 A256242 #20 Aug 10 2015 17:52:58
%S A256242 1,89,135,139,144,233,1224,1367,11249,12222,111126,111266,111338,
%T A256242 112229,112337,1111119,1111134,1111137,1111177,1111333,1111346,
%U A256242 11111117,11111119,11111223,11112236,111111119,111111139,111111299,111112334,1111111169,1111122233,11111111118,11111111133,11111111369,111111111133
%N A256242 Numbers having digits in nondecreasing order and repeatedly setting n := A066308(n) yields a constant nonzero n.
%C A256242 Intersection of A009994 and A256240. All digits differ from 0.
%C A256242 Permutations of all numbers of the elements in the table give the first 56622402 elements from A256240 (unsorted).
%H A256242 David A. Corneth, <a href="/A256242/b256242.txt">Table of n, a(n) for n = 1..166</a> (all elements below 10^100).
%o A256242 (PARI) isok(n) = {d = digits(n); if (vecsort(d,,2) == d, ok = 1; while (ok, newn = sum(k=1, #d, d[k])*prod(k=1,#d, d[k]); if (! newn, return (0)); if (newn == n, return (1)); n = newn; d = digits(n);););} \\ _Michel Marcus_, Mar 27 2015
%Y A256242 Cf. A009994, A256240.
%K A256242 nonn,base
%O A256242 1,2
%A A256242 _David A. Corneth_, Mar 20 2015