login
Positions of 0's in {A327216(n) : n > 0}.
3

%I #9 Sep 30 2019 10:59:25

%S 2,4,7,9,10,12,13,15,17,20,23,25,26,28,30,31,33,34,36,38,41,44,46,47,

%T 49,51,54,57,59,62,64,65,67,68,70,72,75,78,80,81,83,85,86,88,89,91,93,

%U 96,98,99,101,102,104,106,109,112,114,117,119,120,122,123,125

%N Positions of 0's in {A327216(n) : n > 0}.

%C Although a(n)/n->2, the sequence 2*n-a(n) appears to be unbounded below and above.

%C Positive integers k such that A327216(k) = 0. - _Jianing Song_, Sep 30 2019

%H Clark Kimberling and Jianing Song, <a href="/A327217/b327217.txt">Table of n, a(n) for n = 1..10000</a>

%t r = (1+Sqrt[5])/2; z = 200;

%t t = Table[Floor[(2 n + 3) r] - Floor[(n*r + 3 r)] - Floor[n*r], {n, 1, z}] (* {A327216(n) : n > 0} *)

%t Flatten[Position[t, 0]] (* A327217 *)

%t Flatten[Position[t, 1]] (* A327218 *)

%Y Cf. A327216, A327218 (complement).

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 02 2019

%E Corrected by _Jianing Song_, Sep 30 2019