OFFSET
0,1
LINKS
Wikipedia, Braille
FORMULA
a(n) = a(floor(n/10))*64 + a(n mod 10) for n>9.
EXAMPLE
...... +-----+
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)
...... | _ _ |
...... +-----+.
MATHEMATICA
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 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Jul 23 2006
STATUS
approved