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

0,1

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.

Links

Indranil Ghosh, Table of n, a(n) for n = 0..50000

RNIB, This is Braille

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.

Example

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 -- --

Prog

(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

Crossrefs

Equals A079399(n) + 4.

Sequence in context: A154171 A199442 A280811 * A225448 A227537 A113812

Adjacent sequences: A072280 A072281 A072282 * A072284 A072285 A072286

Keyword

base,nonn

Author

Rick L. Shepherd, Jul 10 2002

Status

approved