%I #26 Sep 11 2022 00:51:50
%S 1,4,14,44,144,444,1444
%N Integers which have in Roman numerals more distinct symbols than any smaller number.
%C Indices of record highs in A057226.
%C Smallest number whose Roman notation has exactly n distinct symbols.
%C The sequence is finite because 1444 is the smallest number using the symbols I,V,X,L,C,D,M.
%e For n = 3, a(3) = 14 because 14 = XIV which is the smallest number with 3 symbols in Roman notation.
%t kmax=1500; a={}; n=1; For[k=1, k<=kmax, k++, If[Length[DeleteDuplicates[Characters[RomanNumeral[k]]]] == n, AppendTo[a, k]; n++; k=1]]; a (* _Stefano Spezia_, Aug 26 2022 *)
%Y Cf. A057226, A038378.
%K nonn,fini,full,easy
%O 1,2
%A _Alain Cousquer_, Aug 24 2022