A296695 Numbers whose base-4 digits d(m), d(m-1), ... d(0) have #(rises) > #(falls); see Comments.

6, 7, 11, 22, 23, 26, 27, 31, 43, 47, 70, 71, 75, 86, 87, 90, 91, 95, 97, 98, 99, 102, 103, 106, 107, 108, 109, 110, 111, 113, 114, 115, 118, 119, 123, 127, 134, 135, 139, 155, 171, 175, 177, 178, 179, 182, 183, 187, 191, 198, 199, 203, 219, 262, 263, 267

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 A296694-A296696 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-4 digits of 267 are 1,0,0,2,3; here #(rises) = 2 and #(falls) = 1, so 267 is in the sequence.

Mathematica

z = 200; b = 4; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296694 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296695 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296696 *)

Crossrefs

Cf. A296694, A296696, A296712.

Sequence in context: A267413 A297254 A347512 * A228948 A297128 A035110

Adjacent sequences: A296692 A296693 A296694 * A296696 A296697 A296698

Keyword

nonn,base

Author

Clark Kimberling, Dec 21 2017

Status

approved