A079399 Number of dots in Braille representation of n.

3, 1, 2, 2, 3, 2, 3, 4, 3, 2, 4, 2, 3, 3, 4, 3, 4, 5, 4, 3, 5, 3, 4, 4, 5, 4, 5, 6, 5, 4, 5, 3, 4, 4, 5, 4, 5, 6, 5, 4, 6, 4, 5, 5, 6, 5, 6, 7, 6, 5, 5, 3, 4, 4, 5, 4, 5, 6, 5, 4, 6, 4, 5, 5, 6, 5, 6, 7, 6, 5, 7, 5, 6, 6, 7, 6, 7, 8, 7, 6, 6, 4, 5, 5, 6, 5, 6, 7, 6, 5, 5, 3, 4, 4, 5, 4, 5, 6, 5, 4

Offset

0,1

Comments

The number of dots in [0..9] is [3,1,2,2,3,2,3,4,3,2].

Links

Table of n, a(n) for n=0..99.

American Foundation for the Blind, Braille Bug

American Printing House for the Blind, Braille: Deciphering the Code

RNIB, This is Braille

Formula

a(n) = A000120(A121018(n)) = A000120(A121019(n)). - Reinhard Zumkeller, Jul 23 2006

Example

a(11) = 1+1 = 2.

Mathematica

With[{br=Thread[Range[0, 9]->{3, 1, 2, 2, 3, 2, 3, 4, 3, 2}]}, Total/@ Table[ IntegerDigits[ n]/.br, {n, 0, 100}]] (* Harvey P. Dale, May 24 2013 *)

Prog

(PARI) { braille=[3, 1, 2, 2, 3, 2, 3, 4, 3, 2]; for (n=0, 99, b=braille[n%10+1]; if (n>9, b=b+braille[n\10+1]); print1(b", ")) }
(Python)
b = [3, 1, 2, 2, 3, 2, 3, 4, 3, 2]
def a(n): return sum(b[d] for d in map(int, str(n)))
print([a(n) for n in range(100)]) # Michael S. Branicky, Mar 01 2021

Crossrefs

See A072283 for another version. Cf. A079401, A079405.

Cf. A000120, A121018, A121019.

Sequence in context: A108121 A161916 A072548 * A092155 A288725 A029336

Adjacent sequences: A079396 A079397 A079398 * A079400 A079401 A079402

Keyword

nonn

Author

Jon Perry, Feb 16 2003

Status

approved