%I #7 Feb 17 2019 18:31:57
%S 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,
%T 92,96,100,101,103,107,111,114,118,124,129,134,140,143,149,154,158,
%U 164,169,174,180,185,191,195,199,204,208,214,219,224,230,235,241
%N 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.
%H Nathaniel Johnston, <a href="/A094109/b094109.txt">Table of n, a(n) for n = 1..573</a>
%F a(n) = a(n-1) + A006968(a(n-1)) for n >= 3. - _Nathaniel Johnston_, May 18 2011
%e The sequence begins I, I, II, IV, VI, VIII, XII, XV, XVII, XXI, XXIV, XXVIII, XXXIV, XXIX, XLIII, XLVIII, LIV, LVII, LXI, LXIV, ...
%p 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
%Y See A006968 for how to spell the Roman numerals.
%K nonn,base
%O 1,3
%A _Eric Angelini_, May 03 2004
%E Extended by _Nathaniel Johnston_, May 18 2011