A072283 - OEIS

%I #11 Jan 15 2017 12:08:50

%S 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,

%T 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,

%U 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

%N Number of raised dots to represent n in Braille.

%C 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.

%H Indranil Ghosh, <a href="/A072283/b072283.txt">Table of n, a(n) for n = 0..50000</a>

%H RNIB, <a href="http://www.rnib.org.uk/wesupply/fctsheet/thisisbr.htm">This is Braille</a>

%F 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.

%e 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:

%e -o o- -o

%e -o -- oo

%e oo -- --

%o (Python)

%o B=[3,1,2,2,3,2,3,4,3,2]

%o def A072283(n):

%o ....s=0

%o ....for i in str(n):

%o ........s+=B[int(i)]

%o ....return s+4 # _Indranil Ghosh_, Jan 13 2017

%Y Equals A079399(n) + 4.

%K base,nonn

%O 0,1

%A _Rick L. Shepherd_, Jul 10 2002