

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, 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
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OFFSET

1,3


LINKS

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


FORMULA

a(n) = a(n1) + A006968(a(n1)) 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(n1) + length(convert(procname(n1), 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 * A090404 A015937 A058825
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



