A238365 Number of dots needed to express n as a Roman numeral in Braille.

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

Offset: 1

Author

Arkadiusz Wesolowski, Feb 25 2014

Keywords

• nonn
• word
• base

Examples

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

Links

• Wikipedia, Braille

Crossrefs

Cf. also A002963, A048181, A030166, A072283, A079399, A121018, A220090.

Programs

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(n-1, 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*m-6; if(Mod(m, 5)==4, d=abs(a-7)+b+1, if(m<4, d=a+b+6, d=a+b)); print1(d, ", "));