A105269 -id:A105269 - cp's OEIS frontend

A036788 Length of Roman notation for n <= length of decimal representation.

1, 5, 10, 11, 15, 20, 40, 50, 51, 55, 60, 90, 100, 101, 102, 104, 105, 106, 109, 110, 111, 115, 120, 140, 150, 151, 155, 160, 190, 200, 201, 205, 210, 250, 300, 400, 401, 405, 410, 450, 500, 501, 502, 504, 505, 506, 509, 510, 511, 515, 520, 540, 550, 551, 555

Offset: 1

N. J. A. Sloane

The Roman numeration system used here is the naive one taught in primary school. This sequence, like many others involving numeration systems, is neither well-defined nor interesting for large values of n. - N. J. A. Sloane, Jul 03 2008

			15 = XV has length 2 in both notations.

Nathaniel Johnston, Table of n, a(n) for n = 1..199 (complete up to 3999)
Paul Lewis, Roman numerals

Cf. A036786, A036787, A105269, A119310, A121305.

a036788 n = a036788_list !! (n-1)
a036788_list = [x | x <- [1..], a006968 x <= a055642 x]
-- Reinhard Zumkeller, Apr 20 2013

for n from 1 to 3999 do if(length(convert(n, roman)) <= length(n))then printf("%d, ", n): fi: od: # Nathaniel Johnston, May 18 2011

Select[Range[560],StringLength[IntegerString[#,"Roman"]]<= IntegerLength[ #]&] (* Harvey P. Dale, Dec 18 2011 *)

A006968(a(n)) <= A055642(a(n)). - Reinhard Zumkeller, Apr 20 2013

Corrected and extended by Larry Reeves (larryr(AT)acm.org), Sep 25 2000

A133194 Numbers requiring a prime number of chisel strokes for their representation in Roman numerals.

Original entry on oeis.org

2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 19, 21, 23, 24, 26, 29, 31, 38, 41, 43, 44, 46, 49, 50, 51, 53, 54, 56, 58, 59, 61, 63, 64, 66, 69, 71, 78, 83, 84, 86, 88, 89, 91, 93, 94, 96, 99, 100, 101, 103, 104, 106, 108, 109, 111, 113, 114, 116, 119, 121

Offset: 1

Jonathan Vos Post, Oct 09 2007

Finite if one excludes multiple strokes chiseled over the letter, each meaning multiplication by 1000. The subsequence "primes requiring a prime number of chisel strokes for its representation in Roman numerals" begins 2, 3, 5, 11, 13, 19, 23, 29, 31, 41, 43, 53, 59, 61, 71, 83, 89, 101, 103. This sequence uses the definition of strokes given in A002963, not A118098.

			a(1) = 2 because II requires 2 strokes (neglecting serifs).
a(44) = 88 because LXXXVIII requires 13 strokes.

Nathaniel Johnston, Table of n, a(n) for n = 1..1215 (complete up to 3999)

Cf. A000040, A002963, A105269, A131480.

A002963(a(n)) is in A000040.

cp's OEIS Frontend

A036788 Length of Roman notation for n <= length of decimal representation.

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