A296766 Numbers whose base-60 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 123

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 223381 are 1, 2, 3, 1; here #(rises) = 2 and #(falls) = 1, so 223381 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, A296767, A296712.

Sequence in context: A106657 A033382 A143733 * A003635 A188631 A076764

Adjacent sequences: A296763 A296764 A296765 * A296767 A296768 A296769

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 08 2018

Status

approved