A362960 Length of longest Roman numeral representation of a number <= n.

1, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = max_{i=1..n} A006968(i).

Crossrefs

Cf. A006968.

Sequence in context: A361197 A320110 A068953 * A189635 A109785 A058224

Adjacent sequences: A362957 A362958 A362959 * A362961 A362962 A362963

Keyword

nonn,base,easy

Author

Leyang Zou, Aug 05 2023

Status

approved