A296744 Numbers whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) = #(falls); see Comments.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 133, 143, 144, 154, 155, 156, 165, 166, 167, 168, 176, 177, 178, 179, 180, 187, 188, 189, 190, 191, 192, 198, 199, 200, 201, 202, 203

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 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 203 are 1,7,5; here #(rises) = 1 and #(falls) = 1, so 203 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. A296745, A296746, A296712.

Sequence in context: A044822 A048308 A043714 * A029956 A297274 A048322

Adjacent sequences: A296741 A296742 A296743 * A296745 A296746 A296747

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved