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A296744 Numbers n whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) = #(falls); see Comments. 4
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 133, 143, 144, 154, 155, 156, 165, 166, 167, 168, 176, 177, 178, 179, 180, 187, 188, 189, 190, 191, 192, 198, 199, 200, 201, 202, 203 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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 203 are 1,7,5; here #(rises) = 1 and #(falls) = 1, so that 203 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. A296745, A296746, A296712.

Sequence in context: A044822 A048308 A043714 * A029956 A297274 A048322

Adjacent sequences:  A296741 A296742 A296743 * A296745 A296746 A296747

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified October 24 14:44 EDT 2021. Contains 348233 sequences. (Running on oeis4.)