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A055640
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Number of nonzero digits in decimal expansion of n.
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10
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0, 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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,12
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COMMENTS
| Also number of characters needed to write the number n in classical Greek alphabetic system, up to n=999. The Greek alphabetic system assigned values to the letters as follows:
alpha = 1, beta = 2, gamma = 3, delta = 4, epsilon = 5, zeta = 7, eta = 8, theta = 9,
iota = 10, kappa = 20, lambda = 30, mu = 40, nu = 50, xi = 60, omicron = 70, pi = 80,
rho = 100, sigma = 200, tau = 300, upsilon = 400, phi = 500, chi = 600, psi = 700, omega = 800.
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REFERENCES
| L. Threatte, The Greek Alphabet, in The World's Writing Systems, edited by Peter T. Daniels and William Bright, Oxford Univ. Press, 1996. p. 278.
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LINKS
| Unicode Consortium, Unicode Home Page (Follow the link "Display Problems?" to find an appropriate information/font file to show the Greek characters correctly. Or look at the html-source to see their names).
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EXAMPLE
| E.g. 129 is written as rho kappa theta in the old Greek system.
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PROG
| (Haskell)
a055640 n = length $ filter (/= '0') $ show n
-- Reinhard Zumkeller, May 02 2011
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CROSSREFS
| Cf. A102669 - A102685.
Cf. A004719, A011540, A052382, A061745.
a(n) = A055642(n)-A055641(n).
Differs from A098378 for the first time at position n=200 with a(200)=1, as only one nonzero arabic digit (and only one Greek letter) is needed for two hundred, while A098378(200)=2 as two characters are needed in the Ethiopic system.
Sequence in context: A063056 A174835 * A098378 A160093 A035931 A140438
Adjacent sequences: A055637 A055638 A055639 * A055641 A055642 A055643
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KEYWORD
| nonn,base,easy,nice
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jun 06 2000
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EXTENSIONS
| Comments regarding the ancient Greek number system added by Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Sep 05 2004.
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