A024633 n written in fractional base 5/3.

0, 1, 2, 3, 4, 30, 31, 32, 33, 34, 310, 311, 312, 313, 314, 340, 341, 342, 343, 344, 3120, 3121, 3122, 3123, 3124, 3400, 3401, 3402, 3403, 3404, 3430, 3431, 3432, 3433, 3434, 31210, 31211, 31212, 31213, 31214, 31240, 31241, 31242, 31243, 31244, 34020, 34021

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. A245343.

Programs

Mathematica

a[n_] := a[n] = If[n == 0, 0, 10 * a[3 * Floor[n/5]] + Mod[n, 5]]; Array[a, 50, 0] (* Amiram Eldar, Jul 30 2025 *)

PARI

a(n) = if(n == 0, 0, 10 * a(n\5 * 3) + n % 5); \\ Amiram Eldar, Jul 30 2025