

A238365


Number of dots needed to express n as a Roman numeral in Braille.


0



2, 4, 6, 6, 4, 6, 8, 10, 6, 4, 6, 8, 10, 10, 8, 10, 12, 14, 10, 8, 10, 12, 14, 14, 12, 14, 16, 18, 14, 12, 14, 16, 18, 18, 16, 18, 20, 22, 18, 7, 9, 11, 13, 13, 11, 13, 15, 17, 13, 3, 5, 7, 9, 9, 7, 9, 11, 13, 9, 7, 9, 11, 13, 13, 11, 13, 15, 17, 13, 11, 13, 15
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..72.
Wikipedia, Braille


EXAMPLE

VII in Braille (with the "Roman num" character):
o o o o
o o o
o o o
Therefore a(7) = 10  2 = 8.


PROG

(PARI) a=[2, 4, 6, 6, 4, 6, 8, 10, 6, 0]; b=[0, 4, 8, 12, 7, 3, 7, 11, 15, 6]; for(n=1, 72, if(n<100, print1(a[lift(Mod(n1, 10))+1]+b[floor(n/10)+1], ", "), break));
(PARI)
/* The program works for n < 40 */
b=0; for(n=1, 39, if(Mod(n, 10)==0, b=b+4); m=lift(Mod(n, 10)); a=2*m6; if(Mod(m, 5)==4, d=abs(a7)+b+1, if(m<4, d=a+b+6, d=a+b)); print1(d, ", "));


CROSSREFS

Cf. also A002963, A048181, A030166, A072283, A079399, A121018, A220090.
Sequence in context: A011031 A248844 A257821 * A259935 A054584 A049041
Adjacent sequences: A238362 A238363 A238364 * A238366 A238367 A238368


KEYWORD

nonn,word,base


AUTHOR

Arkadiusz Wesolowski, Feb 25 2014


STATUS

approved



