A296747 Numbers whose base-12 digits d(m), d(m-1), ..., d(0) have #(rises) = #(falls); see Comments.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 157, 168, 169, 180, 181, 182, 192, 193, 194, 195, 204, 205, 206, 207, 208, 216, 217, 218, 219, 220, 221, 228, 229, 230

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 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 230 are 1,7,2; here #(rises) = 1 and #(falls) = 1, so 230 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. A296748, A296749, A296712.

Sequence in context: A044823 A048309 A043715 * A029957 A297277 A048323

Adjacent sequences: A296744 A296745 A296746 * A296748 A296749 A296750

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved