A072283 Number of raised dots to represent n in Braille.

7, 5, 6, 6, 7, 6, 7, 8, 7, 6, 8, 6, 7, 7, 8, 7, 8, 9, 8, 7, 9, 7, 8, 8, 9, 8, 9, 10, 9, 8, 9, 7, 8, 8, 9, 8, 9, 10, 9, 8, 10, 8, 9, 9, 10, 9, 10, 11, 10, 9, 9, 7, 8, 8, 9, 8, 9, 10, 9, 8, 10, 8, 9, 9, 10, 9, 10, 11, 10, 9, 11, 9, 10, 10, 11, 10, 11, 12, 11, 10, 10, 8, 9, 9, 10, 9, 10, 11, 10, 9

Offset: 0

Author

Rick L. Shepherd, Jul 10 2002

Keywords

• base
• nonn

Comments

Each term of this sequence includes 4, the number of raised dots to represent the numeral sign. This is normally necessary since the representations of the numerals "1" through "9" and then "0" are otherwise identical to the representations of the letters "a" through "j", respectively. In some contexts the numeral sign is unnecessary.

Examples

			a(10) = 8 because "10" is represented by the numeral sign "#" (4 raised dots), the digit one (1 raised dot) and digit zero (3 raised dots) and 4 + 3 + 1 = 8. Here is a depiction of the Braille representation, where "o" denotes a raised dot, "-" denotes unused space and each Braille character occupies a 3 X 2 cell:
-o o- -o
-o -- oo
oo -- --
		

Links

• Indranil Ghosh, Table of n, a(n) for n = 0..50000
• RNIB, This is Braille

Crossrefs

Equals A079399(n) + 4.

Programs

Python

B=[3,1,2,2,3,2,3,4,3,2]
def A072283(n):
    s=0
    for i in str(n):
        s+=B[int(i)]
    return s+4 # Indranil Ghosh, Jan 13 2017

Formula

The decimal digits map to numbers of Braille raised dots as follows: 0 -> 3, 1 -> 1, 2 -> 2, 3 -> 2, 4 -> 3, 5 -> 2, 6 -> 3, 7 -> 4, 8 -> 3 and 9 -> 2.