A024649 n written in fractional base 8/7.

0, 1, 2, 3, 4, 5, 6, 7, 70, 71, 72, 73, 74, 75, 76, 77, 760, 761, 762, 763, 764, 765, 766, 767, 7650, 7651, 7652, 7653, 7654, 7655, 7656, 7657, 76540, 76541, 76542, 76543, 76544, 76545, 76546, 76547, 765430, 765431, 765432, 765433, 765434, 765435, 765436

Offset: 0

Author

David W. Wilson

Keywords

• nonn
• base
• easy

Comments

To represent a number in base b, if a digit exceeds b-1, subtract b and carry 1. In fractional base a/b, subtract a and carry b.

Links

• Amiram Eldar, Table of n, a(n) for n = 0..10000
• Index entries for sequences related to fractional bases.

Crossrefs

Cf. A245336.

Programs

Mathematica

a[n_] := a[n] = If[n == 0, 0, 10 * a[7 * Floor[n/8]] + Mod[n, 8]]; Array[a, 50, 0] (* Amiram Eldar, Aug 02 2025 *)

PARI

a(n) = if(n == 0, 0, 10 * a(n\8 * 7) + n % 8); \\ Amiram Eldar, Aug 02 2025