

A092196


Number of letters in "old style" Roman numeral representation of n (e.g., IIII rather than IV).


5



0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 2
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OFFSET

0,3


COMMENTS

How is this sequence defined for large values?  Charles R Greathouse IV, Feb 01 2011
Also, number of abacus pieces moved (i.e., differing from their initial positions) for the expression of n on a Chinese abacus. A Chinese abacus is also called "suanpan"(CN), "soroban"(JP).  FUNG Cheok Yin, Aug 08 2017


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..3999
Wikipedia, Abacus
Wikipedia, Soroban
Wikipedia, Suanpan
Index entries for sequences related to number of letters in n


EXAMPLE

a(99)=10 because 99 is LXXXXVIIII.


MAPLE

A092196 := proc(n) return length(convert(n, roman, period=early)): end: seq(A092196(n), n=1..105); # Nathaniel Johnston, May 18 2011


PROG

(PARI) a(n)=vecsum(apply(v>(v\5)+(v%5), digits(n))); \\ Andrew Howroyd, Oct 19 2017


CROSSREFS

Cf. A006968.
Sequence in context: A011542 A260688 A053344 * A100878 A145172 A280053
Adjacent sequences: A092193 A092194 A092195 * A092197 A092198 A092199


KEYWORD

base,easy,nonn


AUTHOR

Marc LeBrun, Feb 24 2004


EXTENSIONS

a(0)=0 prepended by Andrew Howroyd, Oct 19 2017


STATUS

approved



