A094109 Start with "I" in Roman numerals (one). The next number (in Roman numerals) describes the number of Roman numerals written previously in the sequence. Convert this infinite sequence into an infinite sequence of Arabic numbers.

1, 1, 2, 4, 6, 8, 12, 15, 17, 21, 24, 28, 34, 39, 44, 48, 54, 57, 61, 64, 68, 74, 79, 84, 90, 92, 96, 100, 101, 103, 107, 111, 114, 118, 124, 129, 134, 140, 143, 149, 154, 158, 164, 169, 174, 180, 185, 191, 195, 199, 204, 208, 214, 219, 224, 230, 235, 241

Offset: 1

Author

Eric Angelini, May 03 2004

Keywords

• nonn
• base

Examples

			The sequence begins I, I, II, IV, VI, VIII, XII, XV, XVII, XXI, XXIV, XXVIII, XXXIV, XXIX, XLIII, XLVIII, LIV, LVII, LXI, LXIV, ...
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 1..573

Crossrefs

See A006968 for how to spell the Roman numerals.

Programs

Maple

A094109 := proc(n) option remember: if(n<=2)then return 1:fi: return procname(n-1) + length(convert(procname(n-1),roman)): end: seq(A094109(n),n=1..58); # Nathaniel Johnston, May 18 2011

Formula

a(n) = a(n-1) + A006968(a(n-1)) for n >= 3. - Nathaniel Johnston, May 18 2011

Extensions

Extended by Nathaniel Johnston, May 18 2011