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

1,3

Links

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

Formula

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

Example

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

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

Crossrefs

See A006968 for how to spell the Roman numerals.

Sequence in context: A131197 A078327 A214415 * A338361 A090404 A015937

Adjacent sequences: A094106 A094107 A094108 * A094110 A094111 A094112

Keyword

nonn,base

Author

Eric Angelini, May 03 2004

Extensions

Extended by Nathaniel Johnston, May 18 2011

Status

approved