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, 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.

Links

Table of n, a(n) for n=1..104.

Unicode Consortium, Unicode Standard Version 4.0, Chapter 12, Additional Modern Scripts, Ethiopic

Unicode Consortium, Unicode Home Page

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

Adjacent sequences: A098375 A098376 A098377 * A098379 A098380 A098381

Keyword

nonn,base,easy

Author

Antti Karttunen, Sep 05 2004

Status

approved