A176892 Decimal representation of the reverted binary representation of n followed by digits substitution 0->2, 1->3.

2, 3, 23, 33, 223, 323, 233, 333, 2223, 3223, 2323, 3323, 2233, 3233, 2333, 3333, 22223, 32223, 23223, 33223, 22323, 32323, 23323, 33323, 22233, 32233, 23233, 33233, 22333, 32333, 23333, 33333, 222223, 322223, 232223, 332223, 223223

Offset

0,1

Comments

Revert the digits of A007088(n), preserving zeros, and increase each digit by 2 (add the repunit A002276 with the same number of digits).

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Example

n=10 is A007088(10)= 1010 in binary, reverted 0101. Adding 2222 generates a(10)=2323.

Mathematica

Table[Sum[Table[((IntegerDigits[ n, 2]) /. 0 -> 2) /. 1 -> 3, {n, 0, 50}][[n]][[m]]*10^(m - 1),
{m, 1, Length[Table[((IntegerDigits[n, 2]) /. 0 -> 2) /. 1 -> 3, {n, 0, 50}][[n]]]}], {n, 1, 51}]

Prog

(Haskell)
import Data.List (unfoldr); import Data.Tuple (swap)
a176892 0 = 2a176892 n = foldl (\v d -> 10 * v + d + 2) 0 $
   unfoldr (\x -> if x == 0 then Nothing else Just $ swap $ divMod x 2) n
-- Reinhard Zumkeller, Jul 16 2015

Crossrefs

Cf. A007088, A002276, A032810.

Sequence in context: A024764 A213971 A024773 * A109615 A101001 A231477

Adjacent sequences: A176889 A176890 A176891 * A176893 A176894 A176895

Keyword

nonn,base,easy

Author

Roger L. Bagula, Apr 28 2010

Status

approved