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

Author

Marc LeBrun, Feb 24 2004

Keywords

• base
• easy
• nonn

Examples

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

Links

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

Crossrefs

Cf. A006968, A092196.

Programs

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

Formula

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