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}.

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, 86, 87, 88, 89, 93, 100, 107, 108, 115, 122, 126, 127, 128, 129, 130, 131, 136, 143, 144, 151, 158, 165, 168, 169, 170, 171, 172, 173, 179, 180, 187, 194, 201, 208

Offset: 1

Author

Clark Kimberling, Jan 14 2018

Keywords

• nonn
• easy
• base

Comments

These numbers comprise the complement of the set of numbers in the union of A297134 and A297135.

This first differs from A044817 at position 67: a(67) = 217, A044817(67) = 258. - Robert Israel, Jan 17 2018

Examples

			Base-6 digits of 4996: 3,5,0,4,4, so that 4996 is in the sequence.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A044817, A297134, A297135.

Programs

Maple

filter:= proc(n) local L;
L:= convert(n,base,6);
nops(L)=1 or member(0, L[2..-1]-L[1..-2])
end proc:
select(filter, [$1..1000]); # Robert Israel, Jan 17 2018

Mathematica

a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
b = 6; t = Table[a[n, b], {n, 1, 10*z}];
u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &]   (* A297134 *)
v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &]  (* A297135 *)
Complement[Range[z], Union[u, v]]  (* A297136 *)