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}.

1, 2, 3, 4, 6, 12, 18, 24, 25, 30, 31, 32, 33, 34, 37, 43, 49, 50, 56, 60, 61, 62, 63, 64, 68, 74, 75, 81, 87, 90, 91, 92, 93, 94, 99, 100, 106, 112, 118, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 131, 137, 143, 149, 150, 151, 152, 153, 154, 155, 156

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 A297131 and A297132.

Examples

			Base-5 digits of 5000: 1,3,0,0,0,0, so that 5000is in the sequence.
		

Crossrefs

Cf. A297131, A297132.

Programs

Mathematica

a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
b = 5; t = Table[a[n, b], {n, 1, 10*z}];
u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &]   (* A297131 *)
v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &]  (* A297132 *)
Complement[Range[z], Union[u, v]]  (* A297133 *)