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A296765 Numbers n whose base-60 digits d(m), d(m-1), ..., d(0) have #(rises) = #(falls); see Comments. 4
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 122, 183, 244, 305, 366 (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 A296762-A296764 partition the natural numbers. This sequence differs from A262065; see the example.  For a guide to related sequences, see A296712.

LINKS

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

EXAMPLE

The base-60 digits of 13406581 are 1, 2, 4, 3, 1; here #(rises) = 2 and #(falls) = 2, so that 13406581 is in the sequence.  This sequence is not A262065, as it is not a palindrome.

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. A296766, A296767, A296712, A262065.

Sequence in context: A085736 A265711 A262065 * A055643 A122079 A272118

Adjacent sequences:  A296762 A296763 A296764 * A296766 A296767 A296768

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Jan 08 2018

STATUS

approved

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Last modified October 23 14:54 EDT 2019. Contains 328345 sequences. (Running on oeis4.)