A296895 - OEIS

%I #7 Jan 21 2023 18:06:42

%S 197,198,199,200,201,202,203,204,205,206,207,208,209,393,394,395,396,

%T 397,398,399,400,401,402,403,404,405,408,409,410,411,412,413,414,415,

%U 416,417,418,419,589,590,591,592,593,594,595,596,597,598,599,600,601,604

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

%C 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.

%H Clark Kimberling, <a href="/A296895/b296895.txt">Table of n, a(n) for n = 1..10000</a>

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

%t z = 200; b = 14;

%t d[n_] := Differences[Sign[Differences[IntegerDigits[n, b]]]];

%t Select[Range [z], Count[d[#], -2] == Count[d[#], 2] &]  (* A296894 *)

%t Select[Range [z], Count[d[#], -2] < Count[d[#], 2] &]   (* A296895 *)

%t Select[Range [z], Count[d[#], -2] > Count[d[#], 2] &]   (* A296896 *)

%Y Cf. A296882, A296712, A296894, A296896.

%K nonn,base,easy

%O 1,1

%A _Clark Kimberling_, Jan 12 2018