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Numbers k such that the string 8,0 occurs in the base 9 representation of k but not of k-1.
1

%I #10 Oct 07 2025 05:23:02

%S 72,153,234,315,396,477,558,639,648,720,801,882,963,1044,1125,1206,

%T 1287,1368,1377,1449,1530,1611,1692,1773,1854,1935,2016,2097,2106,

%U 2178,2259,2340,2421,2502,2583,2664,2745,2826,2835,2907,2988,3069,3150,3231,3312,3393,3474

%N Numbers k such that the string 8,0 occurs in the base 9 representation of k but not of k-1.

%H Paolo Xausa, <a href="/A044323/b044323.txt">Table of n, a(n) for n = 1..10000</a>

%t A044323Q[k_] := StringContainsQ[IntegerString[k, 9], "80"] && StringFreeQ[IntegerString[k - 1, 9], "80"];

%t Select[Range[5000], A044323Q] (* _Paolo Xausa_, Oct 07 2025 *)

%Y Cf. A007095.

%K nonn,base

%O 1,1

%A _Clark Kimberling_

%E More terms from _Paolo Xausa_, Oct 07 2025