A032916 Numbers whose set of base-9 digits is {1,3}.

1, 3, 10, 12, 28, 30, 91, 93, 109, 111, 253, 255, 271, 273, 820, 822, 838, 840, 982, 984, 1000, 1002, 2278, 2280, 2296, 2298, 2440, 2442, 2458, 2460, 7381, 7383, 7399, 7401, 7543, 7545, 7561, 7563, 8839, 8841, 8857, 8859, 9001

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Flatten[Table[FromDigits[#, 9]&/@Tuples[{1, 3}, n], {n, 5}]] (* Vincenzo Librandi, Jun 01 2012 *)

Prog

(Magma) [n: n in [1..10000] | Set(IntegerToSequence(n, 9)) subset {1, 3}]; // Vincenzo Librandi, Jun 01 2012
(Python)
def A032916(n): return (int(bin(m:=n+1)[3:], 9)<<1) + (9**(m.bit_length()-1)-1>>3) # Chai Wah Wu, Oct 13 2023

Crossrefs

Cf. A007095.

Sequence in context: A179203 A371476 A102017 * A044994 A242900 A358266

Adjacent sequences: A032913 A032914 A032915 * A032917 A032918 A032919

Keyword

nonn,base

Author

Clark Kimberling

Status

approved