A296898 Numbers whose base-15 digits d(m), d(m-1), ..., d(0) have #(pits) > #(peaks); see Comments.

226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686

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 105092 are 2,1,2,1,2; here #(pits) = 2 and #(peaks) = 1, so 105092 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, A296899.

Sequence in context: A068123 A013875 A043670 * A265499 A126897 A296810

Adjacent sequences: A296895 A296896 A296897 * A296899 A296900 A296901

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 12 2018

Status

approved