A356726 Integers which have in Roman numerals more distinct symbols than any smaller number.

1, 4, 14, 44, 144, 444, 1444

Offset: 1

Author

Alain Cousquer, Aug 24 2022

Keywords

• nonn
• fini
• full
• easy

Comments

Indices of record highs in A057226.

Smallest number whose Roman notation has exactly n distinct symbols.

The sequence is finite because 1444 is the smallest number using the symbols I,V,X,L,C,D,M.

Examples

			For n = 3, a(3) = 14 because 14 = XIV which is the smallest number with 3 symbols in Roman notation.
		

Crossrefs

Cf. A057226, A038378.

Programs

Mathematica

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 *)