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A098378
Number of characters needed to write number n in the traditional Ethiopic (Geez) number system.
1
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, 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, 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
OFFSET
1,11
COMMENTS
The Ethiopic number system uses the following characters:
፩=1 ፪=2 ፫=3 ፬=4 ፭=5 ፮=6 ፯=7 ፰=8 ፱=9
፲=10 ፳=20 ፴=30 ፵=40 ፶=50 ፷=60 ፸=70 ፹=80 ፺=90
፻=100 ፼=10000
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.
REFERENCES
G. Haile, Ethiopic Writing, in The World's Writing Systems, edited by Peter T. Daniels & William Bright, Oxford Univ. Press, 1996. p. 574.
EXAMPLE
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).
CROSSREFS
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.
Sequence in context: A297036 A231072 A055640 * A160093 A259143 A035931
KEYWORD
nonn,base,easy
AUTHOR
Antti Karttunen, Sep 05 2004
STATUS
approved