A368649 - OEIS

%I #19 Jan 03 2024 06:21:24

%S 4,7,11,14,18,22,25,29,33,36,40,43,47,51,54,58,62,65,69,72,76,80,83,

%T 87,90,94,98,101,105,109,112,116,119,123,127,130,134,137,141,145,148,

%U 152,156,159,163,166,170,174,177,181,185,188,192,195,199,203,206,210

%N a(n) = round(n*rho), where rho = (5+sqrt(5))/2.

%C Also, the positive integers that do not appear in A118287.

%H Paolo Xausa, <a href="/A368649/b368649.txt">Table of n, a(n) for n = 1..10000</a>

%H Benoit Cloitre and Jeffrey Shallit, <a href="https://arxiv.org/abs/2312.11706">Some Fibonacci-Related Sequences</a>, arXiv:2312.11706 [math.CO], 2023-2024.

%F a(n) = floor(n*(5+sqrt(5))/2 + 1/2).

%t Round[Range[100](5+Sqrt[5])/2] (* _Paolo Xausa_, Jan 03 2024 *)

%Y Cf. A003231, A118287, A296184.

%K nonn

%O 1,1

%A _Jeffrey Shallit_, Jan 02 2024