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

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

Offset

1,2

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.

Links

Table of n, a(n) for n=1..7.

Example

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

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 *)

Crossrefs

Cf. A057226, A038378.

Sequence in context: A097137 A083377 A047115 * A208666 A125068 A184138

Adjacent sequences: A356723 A356724 A356725 * A356727 A356728 A356729

Keyword

nonn,fini,full,easy

Author

Alain Cousquer, Aug 24 2022

Status

approved