A283765 - OEIS

%I #9 Mar 17 2017 22:02:53

%S 3,4,5,8,9,10,14,15,19,20,24,25,26,29,30,31,35,36,40,41,45,46,47,50,

%T 51,52,55,56,57,61,62,66,67,68,71,72,73,76,77,78,82,83,87,88,89,92,93,

%U 94,97,98,99,103,104,108,109,113,114,115,118,119,120,124,125

%N Numbers k such that L(k) is even, where L = A000201 = lower Wythoff sequence.

%C Complement of A283766.

%H Clark Kimberling, <a href="/A283765/b283765.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n+1) - a(n) is in {1,3,4} for every n.

%t r = GoldenRatio; z = 250; t = Table[Floor[n*r], {n, 1, z}]; u = Mod[t, 2];

%t Flatten[Position[u, 0]]  (* A283765 *)

%t Flatten[Position[u, 1]]  (* A283766 *)

%o (Scheme, with Antti Karttunen's IntSeq-library)

%o (define A283765 (MATCHING-POS 1 1 (lambda (n) (even? (A105774 n)))))

%o ;; _Antti Karttunen_, Mar 17 2017

%Y Cf. A000201, A001622, A105774, A283766, A283767.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Mar 17 2017