A121019 -id:A121019 - cp's OEIS frontend

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

Jon Perry, Feb 16 2003

nonn

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

			a(11) = 1+1 = 2.

American Foundation for the Blind, Braille Bug
American Printing House for the Blind, Braille: Deciphering the Code
RNIB, This is Braille

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

Cf. A000120, A121018, A121019.

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 *)

{ 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",")) }

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

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

A121018 Value of n written in Braille, seen as 3 X 2 bit-code: 1 for a raised dot and 0 for an empty dot position.

Original entry on oeis.org

28, 32, 40, 48, 52, 36, 56, 60, 44, 24, 2076, 2080, 2088, 2096, 2100, 2084, 2104, 2108, 2092, 2072, 2588, 2592, 2600, 2608, 2612, 2596, 2616, 2620, 2604, 2584, 3100, 3104, 3112, 3120, 3124, 3108, 3128, 3132, 3116, 3096, 3356, 3360, 3368, 3376, 3380, 3364

Offset: 0

Reinhard Zumkeller, Jul 23 2006

A000120(a(n)) = A079399(n).

			...... +-----+
n=0: . | _ . | -> (01)(11)(00)
...... | . . | .. -> 011100[bin] = 28 = a(0)
...... | _ _ |
...... +-----+
n=1: . | . _ | -> (10)(00)(00)
...... | _ _ | .. -> 100000[bin] = 32 = a(1)
...... | _ _ |
...... +-----+
n=2: . | . _ | -> (10)(10)(00)
...... | . _ | .. -> 101000[bin] = 40 = a(2)
...... | _ _ |
...... +-----+
n=3: . | . . | -> (11)(00)(00)
...... | _ _ | .. -> 110000[bin] = 48 = a(3)
...... | _ _ |
...... +-----+
n=4: . | . . | -> (11)(01)(00)
...... | _ . | .. -> 110100[bin] = 52 = a(4)
...... | _ _ |
...... +-----+
n=5: . | . _ | -> (10)(01)(00)
...... | _ . |.. -> 100100[bin] = 36 = a(5)
...... | _ _ |
...... +-----+
n=6: . | . . | -> (11)(10)(00)
...... | . _ | .. -> 111000[bin] = 56 = a(6)
...... | _ _ |
...... +-----+
n=7: . | . . | -> (11)(11)(00)
...... | . . | .. -> 111100[bin] = 60 = a(7)
...... | _ _ |
...... +-----+
n=8: . | . _ | -> (10)(11)(00)
...... | . . | .. -> 101100[bin] = 44 = a(8)
...... | _ _ |
...... +-----+
n=9: . | _ . | -> (01)(10)(00)
...... | . _ | .. -> 011000[bin] = 24 = a(9)
...... | _ _ |
...... +-----+.

Wikipedia, Braille

Cf. A121019.

a[0]=28;a[1]= 32;a[2]= 40;a[3]= 48;a[4]= 52;a[5]= 36;a[6]= 56;a[7]= 60;a[8]= 44;a[9]= 24;a[n_]:=a[Floor[n/10]]*64+a[Mod[n,10]];Table[a[n],{n,0,45}] (* James C. McMahon, Oct 11 2024 *)

a(n) = a(floor(n/10))*64 + a(n mod 10) for n>9.

cp's OEIS Frontend

A079399 Number of dots in Braille representation of n.

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