A296707 Numbers whose base-8 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

10, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 28, 29, 30, 31, 37, 38, 39, 46, 47, 55, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 91, 92, 93, 94, 95, 100, 101, 102, 103, 109, 110, 111, 118, 119, 127, 147, 148, 149, 150, 151, 155, 156, 157, 158, 159, 164

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 A296706-A296707 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-8 digits of 164 are 2,4,4; here #(rises) = 1 and #(falls) = 0, so 164 is in the sequence.

Mathematica

z = 200; b = 8; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296706 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296707 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296708 *)

Crossrefs

Cf. A296708, A296709, A296712.

Sequence in context: A118379 A174397 A297266 * A297140 A173688 A008709

Adjacent sequences: A296704 A296705 A296706 * A296708 A296709 A296710

Keyword

nonn,easy,base

Author

Clark Kimberling, Jan 08 2018

Status

approved