A092197 Brevity advantage of "new style" over "old style" Roman numerals.

0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 2, 2, 2, 2, 4, 2, 2, 2, 2, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 6, 0, 0, 0, 0, 2, 0

Offset

1,4

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..3999

Formula

a(n) = A092196(n) - A006968(n).

Example

a(4)=2 because old style takes four letters (IIII) versus new style's two (IV).

Maple

A092197 := proc(n) return length(convert(n, roman, period=early)) - length(convert(n, roman)): end: seq(A092197(n), n=1..105); # Nathaniel Johnston, May 18 2011

Crossrefs

Cf. A006968, A092196.

Sequence in context: A230571 A037213 A218234 * A213618 A319072 A348271

Adjacent sequences: A092194 A092195 A092196 * A092198 A092199 A092200

Keyword

base,easy,nonn

Author

Marc LeBrun, Feb 24 2004

Status

approved