A296745 Numbers whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 27, 28, 29, 30, 31, 32, 37, 38, 39, 40, 41, 42, 43, 49, 50, 51, 52, 53, 54, 61, 62, 63, 64, 65, 73, 74, 75, 76, 85, 86, 87, 97, 98, 109, 134, 135, 136, 137, 138, 139, 140, 141, 142, 145, 146, 147, 148, 149, 150

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 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 150 are 1,2,7; here #(rises) = 2 and #(falls) = 0, so 150 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. A296744, A296746, A296712.

Sequence in context: A020512 A337159 A297275 * A178402 A132580 A138596

Adjacent sequences: A296742 A296743 A296744 * A296746 A296747 A296748

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved