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Numbers n such that string 6,1 occurs in the base 7 representation of n but not of n+1.
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%I #7 Mar 05 2023 11:39:08

%S 43,92,141,190,239,288,307,337,386,435,484,533,582,631,650,680,729,

%T 778,827,876,925,974,993,1023,1072,1121,1170,1219,1268,1317,1336,1366,

%U 1415,1464,1513,1562,1611,1660,1679,1709,1758,1807

%N Numbers n such that string 6,1 occurs in the base 7 representation of n but not of n+1.

%t SequencePosition[Table[If[SequenceCount[IntegerDigits[n,7],{6,1}]>0,1,0],{n,2000}],{1,0}][[;;,1]] (* _Harvey P. Dale_, Mar 05 2023 *)

%K nonn,base

%O 1,1

%A _Clark Kimberling_