A296902 Numbers whose base-16 digits d(m), d(m-1), ..., d(0) have #(pits) < #(peaks); see Comments.

288, 289, 304, 305, 306, 320, 321, 322, 323, 336, 337, 338, 339, 340, 352, 353, 354, 355, 356, 357, 368, 369, 370, 371, 372, 373, 374, 384, 385, 386, 387, 388, 389, 390, 391, 400, 401, 402, 403, 404, 405, 406, 407, 408, 416, 417, 418, 419, 420, 421, 422, 423

Offset

1,1

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 A296900-A296902 partition the natural numbers. See the guides at A296712 and A296882.

Links

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

Example

The base-16 digits of 74017 are 1,2,1,2,1; here #(pits) = 1 and #(peaks) = 2, so 74017 is in the sequence.

Mathematica

z = 200; b = 16;
d[n_] := Differences[Sign[Differences[IntegerDigits[n, b]]]];
Select[Range [z], Count[d[#], -2] == Count[d[#], 2] &]  (* A296900 *)
Select[Range [z], Count[d[#], -2] < Count[d[#], 2] &]   (* A296901 *)
Select[Range [z], Count[d[#], -2] > Count[d[#], 2] &]   (* A296902 *)

Crossrefs

Cf. A296882, A296712, A296900, A296901.

Sequence in context: A035882 A244512 A214301 * A371948 A287116 A345553

Adjacent sequences: A296899 A296900 A296901 * A296903 A296904 A296905

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 12 2018

Status

approved