A001957 - OEIS

%I M2302 N0908 #36 Dec 27 2021 10:46:34

%S 0,1,3,4,5,6,8,9,10,12,13,14,16,17,18,19,21,22,23,25,26,27,29,30,31,

%T 33,34,35,36,38,39,40,42,43,44,46,47,48,49,51,52,53,55,56,57,59,60,61,

%U 62,64,65,66,68,69,70,72,73,74,75,77,78,79,81,82,83,85,86,87

%N u-pile positions in the 3-Wythoff game with i=1.

%C See Connell (1959) for further information.

%C The complement is A001960. - _Omar E. Pol_, Jan 06 2009

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%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="/A001957/b001957.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+1/3)*(sqrt(13)-1)/2). - _R. J. Mathar_, Feb 14 2011

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

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

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_

%E Edited by _N. J. A. Sloane_, Dec 27 2021