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A296701 Numbers n whose base-6 digits d(m), d(m-1), ... d(0) have #(rises) > #(falls); see Comments. 4
8, 9, 10, 11, 15, 16, 17, 22, 23, 29, 44, 45, 46, 47, 50, 51, 52, 53, 57, 58, 59, 64, 65, 71, 87, 88, 89, 93, 94, 95, 100, 101, 107, 130, 131, 136, 137, 143, 173, 179, 224, 225, 226, 227, 231, 232, 233, 238, 239, 245, 260, 261, 262, 263, 266, 267, 268, 269 (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 A296700-A296702 partition the natural numbers. See the guide at A296712.

LINKS

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

EXAMPLE

The base-6 digits of 269 are 1, 1, 2, 5; here #(rises) = 2 and #(falls) = 0, so that 269 is in the sequence.

MATHEMATICA

z = 200; b = 6; d[n_] := Sign[Differences[IntegerDigits[n, b]]];

Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296700 *)

Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296701 *)

Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296702 *)

CROSSREFS

Cf. A296700, A296702, A296712.

Sequence in context: A120209 A247631 A297260 * A297134 A247455 A280290

Adjacent sequences:  A296698 A296699 A296700 * A296702 A296703 A296704

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Jan 07 2018

STATUS

approved

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Last modified November 22 18:55 EST 2019. Contains 329410 sequences. (Running on oeis4.)