A296895 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(pits) > #(peaks); see Comments.

197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 604

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 A296894-A296896 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-14 digits of 79984 are 2,1,2,1,2; here #(pits) = 2 and #(peaks) = 1, so 79984 is in the sequence.

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 *)

Crossrefs

Cf. A296882, A296712, A296894, A296896.

Sequence in context: A013871 A306856 A043664 * A171383 A182572 A152625

Adjacent sequences: A296892 A296893 A296894 * A296896 A296897 A296898

Keyword

nonn,base,easy

Author

Clark Kimberling, Jan 12 2018

Status

approved