login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A296708 Numbers n whose base-8 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments. 4
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 (list; graph; refs; listen; history; text; internal format)
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 that 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 14:39 EDT 2022. Contains 354071 sequences. (Running on oeis4.)