A296749 Numbers whose base-12 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.

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

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 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