A024658 n written in fractional base 10/3.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 380, 381, 382, 383, 384, 385

Offset

0,3

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.

Mathematica

a[n_] := a[n] = If[n == 0, 0, 10 * a[3 * Floor[n/10]] + Mod[n, 10]]; Array[a, 50, 0] (* Amiram Eldar, Aug 04 2025 *)

Prog

(PARI) a(n) = if(n == 0, 0, 10 * a(n\10 * 3) + n % 10); \\ Amiram Eldar, Aug 04 2025

Crossrefs

Cf. A245346.

Sequence in context: A118767 A072941 A225655 * A358021 A349864 A004849

Adjacent sequences: A024655 A024656 A024657 * A024659 A024660 A024661

Keyword

nonn,base,easy

Author

David W. Wilson

Status

approved