A044299 - OEIS

A044299

Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.

%I #9 Oct 06 2025 05:14:02

%S 48,129,210,291,372,432,453,534,615,696,777,858,939,1020,1101,1161,

%T 1182,1263,1344,1425,1506,1587,1668,1749,1830,1890,1911,1992,2073,

%U 2154,2235,2316,2397,2478,2559,2619,2640,2721,2802,2883,2964,3045,3126,3207,3288,3348,3369

%N Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.

%H Paolo Xausa, <a href="/A044299/b044299.txt">Table of n, a(n) for n = 1..10000</a>

%t A044299Q[k_] := StringContainsQ[IntegerString[k, 9], "53"] && StringFreeQ[IntegerString[k - 1, 9], "53"];

%t Select[Range[5000], A044299Q] (* _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