A296763 Numbers whose base-20 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98

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 A296762-A296764 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-20 digits of 98 are 4,18; here #(rises) = 1 and #(falls) = 0, so 98 is in the sequence.

Mathematica

z = 200; b = 20; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296762 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296763 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296764 *)

Crossrefs

Cf. A296762, A296764, A296712.

Sequence in context: A004463 A152835 A004511 * A236404 A058814 A034895

Adjacent sequences: A296760 A296761 A296762 * A296764 A296765 A296766

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved