A098378 - OEIS

%I #12 Oct 25 2023 09:29:15

%S 1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,

%T 2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,

%U 2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,2

%N Number of characters needed to write number n in the traditional Ethiopic (Geez) number system.

%C The Ethiopic number system uses the following characters:

%C ፩=1 ፪=2 ፫=3 ፬=4 ፭=5 ፮=6 ፯=7 ፰=8 ፱=9

%C ፲=10 ፳=20 ፴=30 ፵=40 ፶=50 ፷=60 ፸=70 ፹=80 ፺=90

%C ፻=100 ፼=10000

%C A number is denoted by a sequence of powers of 100, each preceded by a coefficient (2 through 99). In each term of the series, the power 100^n is indicated by n ፻ characters (merged to a digraph ፼ when n=2). The coefficient is indicated by a tens digit and a ones digit, either of which is absent if its value is zero.

%D G. Haile, Ethiopic Writing, in The World's Writing Systems, edited by Peter T. Daniels & William Bright, Oxford Univ. Press, 1996. p. 574.

%H Unicode Consortium, <a href="http://www.unicode.org/versions/Unicode4.0.0/ch12.pdf">Unicode Standard Version 4.0, Chapter 12, Additional Modern Scripts, Ethiopic</a>

%H Unicode Consortium, <a href="http://www.unicode.org/">Unicode Home Page</a>

%e E.g. the number 2345 is represented as (20+3)*100 + (40+5) = 20 3 100 40 5 = ፳፫፻፵፭, thus a(2345)=5. Also a(999)=4 (፱፻፺፱), a(1000)=2 (፲፻), a(9999)=5 (፺፱፻፺፱), a(10000)=1 (፼), a(1000000)=3 (፻፻፻).

%Y Differs from A055640 first time at position n=200 (፪ ፻) with a(200)=2, while A055640(200)=1, as only one nonzero Arabic digit (and only one Greek letter) is needed for two hundred.

%K nonn,base,easy

%O 1,11

%A _Antti Karttunen_, Sep 05 2004