A072283 -id:A072283 - 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

A079405 Number of dots in primes in Braille.

Original entry on oeis.org

2, 2, 2, 4, 2, 3, 5, 3, 4, 4, 3, 6, 4, 5, 7, 4, 4, 4, 7, 5, 6, 6, 5, 5, 6, 5, 6, 8, 6, 4, 7, 4, 7, 5, 6, 4, 7, 6, 8, 7, 7, 5, 4, 5, 7, 5, 4, 6, 8, 6, 6, 6, 6, 5, 8, 7, 7, 7, 10, 6, 7, 6, 9, 4, 5, 7, 5, 8, 9, 7, 6, 6, 9, 8, 8, 7, 7, 8, 7, 8, 6, 6, 6, 7, 7, 8, 8, 9, 7, 8, 10, 9, 10, 6, 7, 7, 7, 5, 6, 6, 9, 8, 7, 7

Offset: 0

Jon Perry, Feb 16 2003

nonn

			The 5th prime is 11, hence a(11)=1+1=2

American Foundation for the Blind, Braille Bug

Cf. A079399, A072283.

{ braille=[3,1,2,2,3,2,3,4,3,2]; forprime (n=2,300, b=braille[n%10+1]; n2=n; if (n>99, b=b+braille[n\100+1]; n2=n%100); if (n2>9,b=b+braille[n2\10+1]); print1(b",")) }

{ braille=[3, 1, 2, 2, 3, 2, 3, 4, 3, 2]; forprime (n=2, 300, n2=n; b=0; while (n2>0, b=b+braille[n2%10+1]; n2=n2\10); print1(b", ")) } \\ Sean A. Irvine, Feb 04 2010

Corrected and extended by Sean A. Irvine, Feb 04 2010

A281020 Numbers with a prime number of raised dots in their Braille representation.

Original entry on oeis.org

0, 1, 4, 6, 8, 12, 13, 15, 19, 21, 31, 47, 51, 67, 70, 74, 76, 78, 87, 91, 100, 104, 106, 108, 111, 127, 137, 140, 144, 146, 148, 157, 160, 164, 166, 168, 172, 173, 175, 177, 179, 180, 184, 186, 188, 197, 202, 203, 205, 207, 209, 217, 220, 224, 226, 228, 230, 234, 236, 238

Offset: 1

Indranil Ghosh, Jan 13 2017

			67 is in the sequence. 67, as evident from the link uploaded above, has 11 raised dots ("o") in its Braille representation and 11 is prime.

Indranil Ghosh, Table of n, a(n) for n = 1..10000
Indranil Ghosh, Braille Numerals

Cf. A072283, A281015, A281017.

from sympy import isprime
B=[3, 1, 2, 2, 3, 2, 3, 4, 3, 2]
def a(n):
    s=0
    for i in str(n):
        s+=B[int(i)]
    return s+4
i=0
j=1
while j<=10000:
    if isprime(a(i))==True :
        print(f"{j} {i}")
        j+=1
    i+=1

A238365 Number of dots needed to express n as a Roman numeral in Braille.

Original entry on oeis.org

2, 4, 6, 6, 4, 6, 8, 10, 6, 4, 6, 8, 10, 10, 8, 10, 12, 14, 10, 8, 10, 12, 14, 14, 12, 14, 16, 18, 14, 12, 14, 16, 18, 18, 16, 18, 20, 22, 18, 7, 9, 11, 13, 13, 11, 13, 15, 17, 13, 3, 5, 7, 9, 9, 7, 9, 11, 13, 9, 7, 9, 11, 13, 13, 11, 13, 15, 17, 13, 11, 13, 15

Offset: 1

Arkadiusz Wesolowski, Feb 25 2014

			VII in Braille (with the "Roman num" character):
  o  o      o    o
     o    o    o
  o  o o
Therefore a(7) = 10 - 2 = 8.

Wikipedia, Braille

Cf. also A002963, A048181, A030166, A072283, A079399, A121018, A220090.

a=[2, 4, 6, 6, 4, 6, 8, 10, 6, 0]; b=[0, 4, 8, 12, 7, 3, 7, 11, 15, 6]; for(n=1, 72, if(n<100, print1(a[lift(Mod(n-1, 10))+1]+b[floor(n/10)+1], ", "), break));

/* The program works for n < 40 */
b=0; for(n=1, 39, if(Mod(n, 10)==0, b=b+4); m=lift(Mod(n, 10)); a=2*m-6; if(Mod(m, 5)==4, d=abs(a-7)+b+1, if(m<4, d=a+b+6, d=a+b)); print1(d, ", "));

cp's OEIS Frontend

A079399 Number of dots in Braille representation of n.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI

Python

Formula

A079405 Number of dots in primes in Braille.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

PARI

PARI

Extensions

A281020 Numbers with a prime number of raised dots in their Braille representation.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Python

A238365 Number of dots needed to express n as a Roman numeral in Braille.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

PARI

PARI