A296755 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.

14, 28, 29, 42, 43, 44, 56, 57, 58, 59, 70, 71, 72, 73, 74, 84, 85, 86, 87, 88, 89, 98, 99, 100, 101, 102, 103, 104, 112, 113, 114, 115, 116, 117, 118, 119, 126, 127, 128, 129, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 154

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 A296753-A296755 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-14 digits of 10^9 are 9, 6, 11, 4, 11, 6, 11, 6; here #(rises) = 3 and #(falls) = 4, so 10^9 is in the sequence.

Mathematica

z = 200; b = 14; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296753 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296754 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296755 *)

Crossrefs

Cf. A296753, A296754, A296712.

Sequence in context: A372446 A040182 A335476 * A297282 A095782 A143204

Adjacent sequences: A296752 A296753 A296754 * A296756 A296757 A296758

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved