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A296767 Numbers n whose base-60 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments. 4
60, 120, 121, 180, 181, 182, 240, 241, 242, 243, 300, 301, 302, 303, 304, 360, 361, 362, 363, 364, 365, 420, 421, 422, 423, 424, 425, 426, 480, 481, 482, 483, 484, 485, 486, 487, 540, 541, 542, 543, 544, 545, 546, 547, 548, 600, 601, 602, 603, 604, 605, 606 (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 A296762-A296764 partition the natural numbers. See the guide at A296712.

LINKS

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

EXAMPLE

The base-60 digits of 10921 are 3, 2, 1; here #(rises) = 0 and #(falls) = 2, so that 10921 is in the sequence.

MATHEMATICA

z = 200; b = 60; d[n_] := Sign[Differences[IntegerDigits[n, b]]];

Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296765 *)

Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296766 *)

Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296767 *)

CROSSREFS

Cf. A296765, A296766, A296712.

Sequence in context: A306908 A252961 A252962 * A096490 A056866 A098136

Adjacent sequences:  A296764 A296765 A296766 * A296768 A296769 A296770

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified September 18 12:29 EDT 2019. Contains 327170 sequences. (Running on oeis4.)