A121019 Value of n written in Braille, seen as 2 X 3 bit-code: 1 for a raised dot and 0 for an empty dot position.
22, 32, 48, 36, 38, 34, 52, 54, 50, 20, 2070, 2080, 2096, 2084, 2086, 2082, 2100, 2102, 2098, 2068, 3094, 3104, 3120, 3108, 3110, 3106, 3124, 3126, 3122, 3092, 2326, 2336, 2352, 2340, 2342, 2338, 2356, 2358, 2354, 2324, 2454, 2464, 2480, 2468, 2470, 2466
Offset: 0
Examples
...... +-----+ n=0: . | _ . | -> (010)(110) ...... | . . | .. -> 010110[bin] = 22 = a(0) ...... | _ _ | ...... +-----+ n=1: . | . _ | -> (100)(000) ...... | _ _ | .. -> 100000[bin] = 32 = a(1) ...... | _ _ | ...... +-----+ n=2: . | . _ | -> (110)(000) ...... | . _ | .. -> 110000[bin] = 48 = a(2) ...... | _ _ | ...... +-----+ n=3: . | . . | -> (100)(100) ...... | _ _ | .. -> 100100[bin] = 36 = a(3) ...... | _ _ | ...... +-----+ n=4: . | . . | -> (100)(110) ...... | _ . | .. -> 100110[bin] = 38 = a(4) ...... | _ _ | ...... +-----+ n=5: . | . _ | -> (100)(010) ...... | _ . | .. -> 100100[bin] = 34 = a(5) ...... | _ _ | ...... +-----+ n=6: . | . . | -> (110)(100) ...... | . _ | .. -> 111000[bin] = 52 = a(6) ...... | _ _ | ...... +-----+ n=7: . | . . | -> (110)(110) ...... | . . | .. -> 110110[bin] = 54 = a(7) ...... | _ _ | ...... +-----+ n=8: . | . _ | -> (110)(010) ...... | . . | .. -> 101100[bin] = 50 = a(8) ...... | _ _ | ...... +-----+ n=9: . | _ . | -> (010)(100) ...... | . _ | .. -> 010100[bin] = 20 = a(9) ...... | _ _ | ...... +-----+.
Links
- Wikipedia, Braille
Crossrefs
Cf. A121018.
Programs
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Mathematica
a[0]=22; a[1]= 32; a[2]= 48; a[3]= 36; a[4]= 38; a[5]= 34; a[6]= 52; a[7]= 54; a[8]= 50; a[9]=20; a[n_]:=a[Floor[n/10]]*64+a[Mod[n, 10]]; Table[a[n], {n, 0, 45}] (* James C. McMahon, Oct 12 2024 *)
Formula
a(n) = a(floor(n/10))*64 + a(n mod 10) for n>9.
Comments