A296896 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(pits) < #(peaks); see Comments.

224, 225, 238, 239, 240, 252, 253, 254, 255, 266, 267, 268, 269, 270, 280, 281, 282, 283, 284, 285, 294, 295, 296, 297, 298, 299, 300, 308, 309, 310, 311, 312, 313, 314, 315, 322, 323, 324, 325, 326, 327, 328, 329, 330, 336, 337, 338, 339, 340, 341, 342, 343

Offset: 1

Author

Clark Kimberling, Jan 12 2018

Keywords

• nonn
• base
• easy

Comments

A pit is an index i such that d(i-1) > d(i) < d(i+1); a peak is an index i such that d(i-1) < d(i) > d(i+1). The sequences A296894-A296896 partition the natural numbers. See the guides at A296712 and A296882.

Examples

			The base-14 digits of 44129 are 1,2,1,2,1; here #(pits) = 1 and #(peaks) = 2, so 44129 is in the sequence.
		

Links

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

Crossrefs

Cf. A296882, A296712, A296894, A296895.

Programs

Mathematica

z = 200; b = 14;
d[n_] := Differences[Sign[Differences[IntegerDigits[n, b]]]];
Select[Range [z], Count[d[#], -2] == Count[d[#], 2] &]  (* A296894 *)
Select[Range [z], Count[d[#], -2] < Count[d[#], 2] &]   (* A296895 *)
Select[Range [z], Count[d[#], -2] > Count[d[#], 2] &]   (* A296896 *)