A001959 - OEIS

%I M0541 #21 Feb 04 2022 00:43:53

%S 0,2,3,4,6,7,8,9,11,12,13,15,16,17,19,20,21,23,24,25,26,28,29,30,32,

%T 33,34,36,37,38,39,41,42,43,45,46,47,49,50,51,52,54,55,56,58,59,60,62,

%U 63,64,66,67,68,69,71,72,73,75,76,77,79,80,81,82,84,85,86,88

%N u-pile numbers for the 3-Wythoff game with i=2.

%C See Connell (1959) for further information.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H T. D. Noe, <a href="/A001959/b001959.txt">Table of n, a(n) for n = 0..10000</a>

%H Ian G. Connell, <a href="http://dx.doi.org/10.4153/CMB-1959-024-3">A generalization of Wythoff's game</a>, Canad. Math. Bull. 2 (1959) 181-190

%F a(n) = floor( (n+2/3)*(sqrt(13)-1)/2 ). - _R. J. Mathar_, Feb 14 2011

%t Table[Floor[(n + 2/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* _T. D. Noe_, Aug 17 2012 *)

%Y Cf. A001954, A001958, A001960, A001963-A001968.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E Edited by _Hugo Pfoertner_, Dec 27 2021