[seqfan] Ratio of Chisel Strokes in English names and Roman numerals
Jonathan Post
jvospost3 at gmail.com
Mon Sep 7 16:31:14 CEST 2009
Taking the 16 positive integers (A163670) which are entirely written
with straight line segments, then there is a subset of 5 of them for
which the number of chisel strokes of the Roman numeral representation
(a007963) divides the number of chisel strokes of the English name.
I'm not sure if there's a good seq here, but it helps with my High
School Math teaching, in clairifying the distinction between number
and prepresentaion, while practicing counting, Roman Numerals, and
division.
n a(n) Name(a(n)) Strokes(name(a(n))) Roman(a(n)) Strokes(Roman(n))
Strokes(English)/Strokes/Roman
1 5 FIVE 10 V
2 10/2 = 5
2 9 NINE 11 IX 3
3 10 TEN 9 X 2
4 11 ELEVEN 19 XI 3
5 12 TWELVE 18 XII 4
6 15 FIFTEEN 20 XV 4
20/4 = 5
7 19 NINETEEN 24 XIX 5
8 20 TWENTY 18 XX 4
9 25 TWENTYFIVE 30 XXV 6
30/6 = 5
10 29 TWENTYNINE 31 XXIX 7
11 50 FIFTY 12 L
2 12/2 = 6
12 55 FIFTYFIVE 22 LV 4
13 59 FIFTYNINE 23 LIX 5
14 90 NINETY 16 XC [X<) 4
16/4 = 4
15 95 NINETYFIVE 26 XCV 6
16 99 NINETYNINE 27 XCIX 7
I am not happy with the difference in the way that curves are treated
in English count and Roman numeral count (i.e. C as two chisel strokes
in the Roman numeral per A007963) versus the more recent distinction
between segment, semicicircle, circle, and S-curve.
Any suggestions?
Happy Labor Day,
Jonathan Vos Post
More information about the SeqFan
mailing list