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A296746 Numbers n whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments. 4
11, 22, 23, 33, 34, 35, 44, 45, 46, 47, 55, 56, 57, 58, 59, 66, 67, 68, 69, 70, 71, 77, 78, 79, 80, 81, 82, 83, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 102, 103, 104, 105, 106, 107, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 132, 242, 253 (list; graph; refs; listen; history; text; internal format)
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 253 are 2,1,0; here #(rises) = 0 and #(falls) = 2, so that 253 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, A296745, A296712.

Sequence in context: A180054 A166713 A297273 * A095779 A062055 A066500

Adjacent sequences:  A296743 A296744 A296745 * A296747 A296748 A296749

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified November 18 09:46 EST 2019. Contains 329261 sequences. (Running on oeis4.)