A296692 Numbers whose base-3 digits d(m), d(m-1), ... d(0) have #(rises) > #(falls); see Comments.

5, 14, 17, 32, 41, 44, 46, 47, 50, 53, 59, 86, 95, 98, 113, 122, 125, 127, 128, 131, 134, 136, 137, 139, 140, 143, 149, 152, 154, 155, 158, 161, 167, 176, 179, 221, 248, 257, 260, 275, 284, 287, 289, 290, 293, 296, 302, 329, 338, 341, 356, 365, 368, 370, 371

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 A296691-A296693 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-3 digits of 371 are 1,1,1,2,0,2; here #(rises) = 2 and #(falls) = 1, so 371 is in the sequence.

Mathematica

z = 200; b = 3; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296691 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296692 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296693 *)

Crossrefs

Cf. A296691, A296693, A296712.

Sequence in context: A230058 A230091 A053782 * A102884 A356873 A071852

Adjacent sequences: A296689 A296690 A296691 * A296693 A296694 A296695

Keyword

nonn,base

Author

Clark Kimberling, Dec 19 2017

Status

approved