A024663 - OEIS

%I #12 Aug 05 2025 03:38:08

%S 0,1,2,3,4,5,6,7,8,9,80,81,82,83,84,85,86,87,88,89,860,861,862,863,

%T 864,865,866,867,868,869,8640,8641,8642,8643,8644,8645,8646,8647,8648,

%U 8649,86420,86421,86422,86423,86424,86425,86426,86427,86428,86429,864200

%N n written in fractional base 10/8.

%C 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.

%H Amiram Eldar, <a href="/A024663/b024663.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Ba#base_fractional">Index entries for sequences related to fractional bases</a>.

%t a[n_] := a[n] = If[n == 0, 0, 10 * a[8 * Floor[n/10]] + Mod[n, 10]]; Array[a, 100, 0] (* _Amiram Eldar_, Aug 04 2025 *)

%o (PARI) a(n) = if(n == 0, 0, 10 * a(n\10 * 8) + n % 10); \\ _Amiram Eldar_, Aug 04 2025

%K nonn,base,easy

%O 0,3

%A _David W. Wilson_