A296702 Numbers whose base-6 digits d(m), d(m-1), ... d(0) have #(rises) < #(falls); see Comments.

6, 12, 13, 18, 19, 20, 24, 25, 26, 27, 30, 31, 32, 33, 34, 36, 42, 72, 78, 79, 84, 85, 108, 114, 115, 120, 121, 122, 126, 127, 128, 144, 150, 151, 156, 157, 158, 162, 163, 164, 165, 168, 169, 170, 171, 180, 186, 187, 192, 193, 194, 198, 199, 200, 201, 204

Offset

1,1

Comments

A rise is an index i such that d(i) < d(i+1); a fall is an index i such that d(i) > d(i+1). The sequences A296700-A296702 partition the natural numbers. See the guide at A296712.

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Example

The base-6 digits of 224 are 5,4,0; here #(rises) = 0 and #(falls) = 2, so 204 is in the sequence.

Mathematica

z = 200; b = 6; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296700 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296701 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296702 *)

Crossrefs

Cf. A296700, A296701, A296712.

Sequence in context: A107687 A337480 A297258 * A297135 A004758 A055051

Adjacent sequences: A296699 A296700 A296701 * A296703 A296704 A296705

Keyword

nonn,easy,base

Author

Clark Kimberling, Jan 07 2018

Status

approved