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A001958 v-pile numbers of the 3-Wythoff game with i=1.
(Formerly M3794 N1547)
5

%I M3794 N1547 #21 Feb 04 2022 00:44:01

%S 1,5,10,14,18,22,27,31,35,40,44,48,53,57,61,65,70,74,78,83,87,91,96,

%T 100,104,109,113,117,121,126,130,134,139,143,147,152,156,160,164,169,

%U 173,177,182,186,190,195,199,203,207,212,216,220,225,229,233,238,242,246

%N v-pile numbers of the 3-Wythoff game with i=1.

%C See Connell (1959) for further information.

%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="/A001958/b001958.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) * (5+sqrt(13)) /2). - _R. J. Mathar_, Feb 14 2011

%t Table[Floor[(n + 1/3)*(5 + Sqrt[13])/2], {n, 0, 100}] (* _T. D. Noe_, Aug 17 2012 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E Edited by _Hugo Pfoertner_, Dec 27 2021

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