A296746 Numbers whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.

11, 22, 23, 33, 34, 35, 44, 45, 46, 47, 55, 56, 57, 58, 59, 66, 67, 68, 69, 70, 71, 77, 78, 79, 80, 81, 82, 83, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 102, 103, 104, 105, 106, 107, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 132, 242, 253

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 A296744-A296746 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-11 digits of 253 are 2,1,0; here #(rises) = 0 and #(falls) = 2, so 253 is in the sequence.

Mathematica

z = 200; b = 11; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296744 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296745 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296746 *)

Crossrefs

Cf. A296744, A296745, A296712.

Sequence in context: A180054 A166713 A297273 * A095779 A062055 A332516

Adjacent sequences: A296743 A296744 A296745 * A296747 A296748 A296749

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved