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A297133 Numbers whose base-5 digits d(m), d(m-1),..., d(0) have m=0 or else d(i) = d(i+1) for some i in {0,1,...,m-1}.

%I A297133 #4 Jan 14 2018 23:01:54
%S A297133 1,2,3,4,6,12,18,24,25,30,31,32,33,34,37,43,49,50,56,60,61,62,63,64,
%T A297133 68,74,75,81,87,90,91,92,93,94,99,100,106,112,118,120,121,122,123,124,
%U A297133 125,126,127,128,129,131,137,143,149,150,151,152,153,154,155,156
%N A297133 Numbers whose base-5 digits d(m), d(m-1),..., d(0) have m=0 or else d(i) = d(i+1) for some i in {0,1,...,m-1}.
%C A297133 These numbers comprise the complement of the set of numbers in the union of A297131 and A297132.
%e A297133 Base-5 digits of 5000: 1,3,0,0,0,0, so that 5000is in the sequence.
%t A297133 a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
%t A297133 b = 5; t = Table[a[n, b], {n, 1, 10*z}];
%t A297133 u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &]   (* A297131 *)
%t A297133 v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &]  (* A297132 *)
%t A297133 Complement[Range[z], Union[u, v]]  (* A297133 *)
%Y A297133 Cf. A297131, A297132.
%K A297133 nonn,easy,base
%O A297133 1,2
%A A297133 _Clark Kimberling_, Jan 14 2018