A296748 Numbers whose base-12 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

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

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 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