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A024636

n written in fractional base 6/3.

0, 1, 2, 3, 4, 5, 30, 31, 32, 33, 34, 35, 300, 301, 302, 303, 304, 305, 330, 331, 332, 333, 334, 335, 3000, 3001, 3002, 3003, 3004, 3005, 3030, 3031, 3032, 3033, 3034, 3035, 3300, 3301, 3302, 3303, 3304, 3305, 3330, 3331, 3332, 3333, 3334, 3335, 30000, 30001

(list; graph; refs; listen; history; text; internal format)

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/6]] + Mod[n, 6]]; Array[a, 100, 0] (* Amiram Eldar, Aug 04 2025 *)

PROG

(PARI) a(n) = if(n == 0, 0, 10 * a(n\6 * 3) + n % 6); \\ Amiram Eldar, Aug 04 2025