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A296749 Numbers n whose base-12 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments. 5
12, 24, 25, 36, 37, 38, 48, 49, 50, 51, 60, 61, 62, 63, 64, 72, 73, 74, 75, 76, 77, 84, 85, 86, 87, 88, 89, 90, 96, 97, 98, 99, 100, 101, 102, 103, 108, 109, 110, 111, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 132, 133, 134 (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 A296747-A296749 partition the natural numbers. See the guide at A296712.

LINKS

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

EXAMPLE

The base-12 digits of 134 are 11,2; here #(rises) = 0 and #(falls) = 2, so that 134 is in the sequence.

MATHEMATICA

z = 200; b = 12; d[n_] := Sign[Differences[IntegerDigits[n, b]]];

Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296747 *)

Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296748 *)

Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296749 *)

CROSSREFS

Cf. A296747, A296748, A296712.

Sequence in context: A183192 A117320 A040132 * A297276 A095780 A119588

Adjacent sequences:  A296746 A296747 A296748 * A296750 A296751 A296752

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified November 13 17:34 EST 2019. Contains 329106 sequences. (Running on oeis4.)