A022164 - OEIS

%I #12 Sep 08 2022 08:44:46

%S 1,2,3,4,7,8,9,11,13,14,16,17,19,21,22,23,25,27,28,29,30,33,34,35,37,

%T 39,40,42,43,45,46,48,49,51,53,54,55,56,59,60,61,63,65,66,67,69,71,72,

%U 74,75,77,79,80,81,82,85,86,87,88,91,92,93,95,97,98,100

%N First column of spectral array W(sqrt(5)-1).

%H G. C. Greubel, <a href="/A022164/b022164.txt">Table of n, a(n) for n = 1..5000</a>

%H A. Fraenkel and C. Kimberling, <a href="http://dx.doi.org/10.1016/0012-365X(94)90259-3">Generalized Wythoff arrays, shuffles and interspersions</a>, Discrete Mathematics 126 (1994) 137-149.

%t Table[Floor[(Sqrt[5] - 1)*Floor[(Sqrt[5] - 1)*n]], {n, 1, 50}] (* _G. C. Greubel_, May 27 2018 *)

%o (PARI) a(n) = floor((sqrt(5)-1)*floor((sqrt(5)-1)*n)); \\ _Michel Marcus_, Mar 05 2014

%o (Magma) [Floor((Sqrt(5)-1)*Floor(n*(Sqrt(5)-1))): n in [1..50]]; // _G. C. Greubel_, May 27 2018

%Y Cf. A022165.

%K nonn

%O 1,2

%A _Clark Kimberling_

%E More terms from _Michel Marcus_, Mar 05 2014