A296708 Numbers whose base-8 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.

8, 16, 17, 24, 25, 26, 32, 33, 34, 35, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 64, 72, 128, 136, 137, 144, 145, 192, 200, 201, 208, 209, 210, 216, 217, 218, 256, 264, 265, 272, 273, 274, 280, 281, 282, 283, 288, 289, 290, 291

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 291 are 4,4,3; here #(rises) = 0 and #(falls) = 1, so 291 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. A296707, A296708, A296712.

Sequence in context: A319317 A091251 A297264 * A297141 A004779 A247061

Adjacent sequences: A296705 A296706 A296707 * A296709 A296710 A296711

Keyword

nonn,easy,base

Author

Clark Kimberling, Jan 08 2018

Status

approved