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Numbers k such that the string 6,5 occurs in the base 9 representation of k but not of k-1.
1

%I #10 Oct 06 2025 11:24:24

%S 59,140,221,302,383,464,531,545,626,707,788,869,950,1031,1112,1193,

%T 1260,1274,1355,1436,1517,1598,1679,1760,1841,1922,1989,2003,2084,

%U 2165,2246,2327,2408,2489,2570,2651,2718,2732,2813,2894,2975,3056,3137,3218,3299,3380,3447

%N Numbers k such that the string 6,5 occurs in the base 9 representation of k but not of k-1.

%H Paolo Xausa, <a href="/A044310/b044310.txt">Table of n, a(n) for n = 1..10000</a>

%t A044310Q[k_] := StringContainsQ[IntegerString[k, 9], "65"] && StringFreeQ[IntegerString[k - 1, 9], "65"];

%t Select[Range[5000], A044310Q] (* _Paolo Xausa_, Oct 06 2025 *)

%Y Cf. A007095.

%K nonn,base

%O 1,1

%A _Clark Kimberling_

%E More terms from _Paolo Xausa_, Oct 06 2025