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A296748 Numbers n whose base-12 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments. 4
14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 30, 31, 32, 33, 34, 35, 40, 41, 42, 43, 44, 45, 46, 47, 53, 54, 55, 56, 57, 58, 59, 66, 67, 68, 69, 70, 71, 79, 80, 81, 82, 83, 92, 93, 94, 95, 105, 106, 107, 118, 119, 131, 158, 159, 160, 161, 162, 163 (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 A296747-A296749 partition the natural numbers. See the guide at A296712.

LINKS

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

EXAMPLE

The base-12 digits of 163 are 1,1,7; here #(rises) = 1 and #(falls) = 0, so that 163 is in the sequence.

MATHEMATICA

z = 200; b = 12; d[n_] := Sign[Differences[IntegerDigits[n, b]]];

Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296747 *)

Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296748 *)

Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296749 *)

CROSSREFS

Cf. A296747, A296749, A296712.

Sequence in context: A142865 A089838 A297278 * A270042 A332924 A048125

Adjacent sequences:  A296745 A296746 A296747 * A296749 A296750 A296751

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified September 17 07:51 EDT 2021. Contains 347478 sequences. (Running on oeis4.)