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A297136 Numbers whose base-6 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 A297136 #16 Jan 18 2018 04:04:04
%S A297136 1,2,3,4,5,7,14,21,28,35,36,42,43,44,45,46,47,50,57,64,71,72,79,84,85,
%T A297136 86,87,88,89,93,100,107,108,115,122,126,127,128,129,130,131,136,143,
%U A297136 144,151,158,165,168,169,170,171,172,173,179,180,187,194,201,208
%N A297136 Numbers whose base-6 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 A297136 These numbers comprise the complement of the set of numbers in the union of A297134 and A297135.
%C A297136 This first differs from A044817 at position 67: a(67) = 217, A044817(67) = 258. - _Robert Israel_, Jan 17 2018
%H A297136 Robert Israel, <a href="/A297136/b297136.txt">Table of n, a(n) for n = 1..10000</a>
%e A297136 Base-6 digits of 4996: 3,5,0,4,4, so that 4996 is in the sequence.
%p A297136 filter:= proc(n) local L;
%p A297136 L:= convert(n,base,6);
%p A297136 nops(L)=1 or member(0, L[2..-1]-L[1..-2])
%p A297136 end proc:
%p A297136 select(filter, [$1..1000]); # _Robert Israel_, Jan 17 2018
%t A297136 a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
%t A297136 b = 6; t = Table[a[n, b], {n, 1, 10*z}];
%t A297136 u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &]   (* A297134 *)
%t A297136 v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &]  (* A297135 *)
%t A297136 Complement[Range[z], Union[u, v]]  (* A297136 *)
%Y A297136 Cf. A044817, A297134, A297135.
%K A297136 nonn,easy,base
%O A297136 1,2
%A A297136 _Clark Kimberling_, Jan 14 2018