

A305403


Number of Ukrainian letters in Ukrainian name of n.


1



4, 4, 3, 3, 6, 4, 5, 3, 5, 6, 6, 10, 10, 10, 12, 10, 11, 10, 12, 12, 8, 12, 11, 11, 14, 12, 13, 11, 13, 14, 8, 12, 11, 11, 14, 12, 13, 11, 13, 14, 5, 9, 8, 8, 11, 9, 10, 8, 10, 11, 8, 12, 11, 11, 14, 12, 13, 11, 13, 14, 9, 13, 12, 12, 15, 13, 14, 12, 14, 15, 8, 12, 11, 11, 14, 12, 13, 11, 13, 14, 10, 14, 13
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OFFSET

0,1


COMMENTS

Apostrophes, when the name is written with Ukrainian letters, are not counted as letters. If they were, then, for example, a(5) would be 5, but here, a(5) = 4, because the apostrophe is ignored.


LINKS

EHern Lee, Table of n, a(n) for n = 0..10000
MyLanguages, Ukrainian numbers
Of Languages and Numbers, Counting in Ukranian
Wikipedia, List of numbers in various languages  Slavic languages
Wikipedia, Romanization of Ukrainian
Wikipedia, Ukrainian alphabet
Index entries for sequences related to names of numbers


EXAMPLE

Using the BGN/PCGN romanization system, the names of numbers are nul', odyn, dva, try, chotyry, .... Note that the number of letters in the romanized name of n does not necessarily coincide with the number of letters when the name of n is written in Ukrainian script.


MATHEMATICA

(* only works up to 999999 *)
upto20 = {0, 4, 3, 3, 6, 4, 5, 3, 5, 6, 6, 10, 10, 10, 12, 10, 11, 10, 12, 12, 8}
tens = {0, 6, 8, 8, 5, 8, 9, 8, 10, 9}
hundreds = {0, 3, 6, 6, 9, 6, 7, 6, 8, 8}
thousands = {0, 10, 9, 9, 12}
f[x_] := If[x == 0, 4, If[x > 999 && x < 5000, thousands[[Quotient[x, 1000] + 1]] + f[Mod[x, 1000]],
If[
x < 1000,
If[Mod[x, 100] <= 20, upto20[[Mod[x, 100] + 1]], upto20[[Mod[x, 10] + 1]] + tens[[Mod[Quotient[x, 10], 10] + 1]]] + hundreds[[Mod[Quotient[x, 100], 10] + 1]] + thousands[[Mod[Quotient[x, 1000], 10] + 1]],
5 + f[Quotient[x, 1000]] + If[Mod[x, 1000] == 0, 0, f[Mod[x, 1000]]]
]
]]
For[i = 0, i <= 10000, i++,
j = 0;
Print[i, " ", f[i]]
] (* EHern Lee, Jul 11 2018 *)


CROSSREFS

Cf. A005589 (English), A007005 (French), A026858 (Italian), A006994 (Russian), A011762 (Spanish).
Sequence in context: A209252 A265131 A344894 * A344895 A020805 A200587
Adjacent sequences: A305400 A305401 A305402 * A305404 A305405 A305406


KEYWORD

nonn,word


AUTHOR

Felix FrÃ¶hlich, May 31 2018


EXTENSIONS

More terms from EHern Lee, Jul 11 2018


STATUS

approved



