A296899 Numbers whose base-15 digits d(m), d(m-1), ..., d(0) have #(pits) < #(peaks); see Comments.

255, 256, 270, 271, 272, 285, 286, 287, 288, 300, 301, 302, 303, 304, 315, 316, 317, 318, 319, 320, 330, 331, 332, 333, 334, 335, 336, 345, 346, 347, 348, 349, 350, 351, 352, 360, 361, 362, 363, 364, 365, 366, 367, 368, 375, 376, 377, 378, 379, 380, 381, 382

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 A296897-A296899 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-15 digits of 57631 are 1,2,1,2,1; here #(pits) = 1 and #(peaks) = 2, so 57631 is in the sequence.

Mathematica

z = 200; b = 15;
d[n_] := Differences[Sign[Differences[IntegerDigits[n, b]]]];
Select[Range [z], Count[d[#], -2] == Count[d[#], 2] &]  (* A296897 *)
Select[Range [z], Count[d[#], -2] < Count[d[#], 2] &]   (* A296898 *)
Select[Range [z], Count[d[#], -2] > Count[d[#], 2] &]   (* A296899 *)

Crossrefs

Cf. A296882, A296712, A296897, A296898.

Sequence in context: A334353 A028526 A132828 * A257021 A359445 A306223

Adjacent sequences: A296896 A296897 A296898 * A296900 A296901 A296902

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 12 2018

Status

approved