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Numbers n such that string 1,0 occurs in the base 5 representation of n but not of n-1.
0

%I #8 Nov 21 2013 12:47:03

%S 5,25,55,80,105,125,180,205,230,255,275,305,330,355,380,400,430,455,

%T 480,505,525,555,580,605,625,805,830,855,880,900,930,955,980,1005,

%U 1025,1055,1080,1105,1130,1150,1180,1205,1230,1255,1275

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

%t Select[Range[1300],MemberQ[Partition[IntegerDigits[#,5],2,1],{1,0}] && !MemberQ[Partition[IntegerDigits[#-1,5],2,1],{1,0}]&] (* _Harvey P. Dale_, May 11 2011 *)

%K nonn,base

%O 1,1

%A _Clark Kimberling_