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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A296753 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(rises) = #(falls); see Comments. 6
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 211, 224, 225, 238, 239, 240, 252, 253, 254, 255, 266, 267, 268, 269, 270, 280, 281, 282 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 A296753-A296755 partition the natural numbers. See the guide at A296712. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The base-14 digits of 1000000 are 2,8,6,2,12; here #(rises) = 2 and #(falls) = 2, so 1000000 is in the sequence. MATHEMATICA z = 200; b = 14; d[n_] := Sign[Differences[IntegerDigits[n, b]]]; Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296753 *) Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &] (* A296754 *) Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &] (* A296755 *) Select[Range[300], Total[Sign[Differences[IntegerDigits[#, 14]]]]==0&] (* Harvey P. Dale, Sep 20 2022 *) CROSSREFS Cf. A296754, A296755, A296712. Sequence in context: A044825 A048311 A043717 * A029959 A297283 A048325 Adjacent sequences: A296750 A296751 A296752 * A296754 A296755 A296756 KEYWORD nonn,base,easy 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.

Last modified September 23 17:20 EDT 2023. Contains 365554 sequences. (Running on oeis4.)