A296705 Numbers whose base-7 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.

7, 14, 15, 21, 22, 23, 28, 29, 30, 31, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 49, 56, 98, 105, 106, 112, 113, 147, 154, 155, 161, 162, 163, 168, 169, 170, 196, 203, 204, 210, 211, 212, 217, 218, 219, 220, 224, 225, 226, 227, 245, 252, 253, 259, 260, 261

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 A296703-A296705 partition the natural numbers. See the guide at A296712.

Links

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

Example

The base-7 digits of 261 are 5,2,2; here #(rises) = 0 and #(falls) = 2, so 261 is in the sequence.

Mathematica

z = 200; b = 7; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296703 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296704 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296705 *)

Crossrefs

Cf. A296703, A296704, A296712.

Sequence in context: A022557 A307546 A297261 * A297138 A085335 A069137

Adjacent sequences: A296702 A296703 A296704 * A296706 A296707 A296708

Keyword

nonn,easy,base

Author

Clark Kimberling, Jan 08 2018

Status

approved