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Numbers n such that string 2,0 occurs in the base 5 representation of n but not of n+1.
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%I #7 May 06 2022 13:49:45

%S 10,35,54,60,85,110,135,160,179,185,210,235,274,285,304,310,335,360,

%T 385,410,429,435,460,485,510,535,554,560,585,610,635,660,679,685,710,

%U 735,760,785,804,810,835,860,899,910,929,935,960

%N Numbers n such that string 2,0 occurs in the base 5 representation of n but not of n+1.

%t SequencePosition[Table[If[SequenceCount[IntegerDigits[n,5],{2,0}]>0,1,0],{n,1000}],{1,0}][[All,1]] (* _Harvey P. Dale_, May 06 2022 *)

%K nonn,base

%O 1,1

%A _Clark Kimberling_