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 A001963 Wythoff game. (Formerly M0943 N0354) 2
 0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 83 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Winning positions in the u-pile of the 4-Wythoff game with parameter i=1 (Connell nomenclature). REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 0..10000 Ian G. Connell, A generalization of Wythoff's game, Canad. Math. Bull. 2 (1959) 181-190 FORMULA a(n) = floor( (n+1/4)*(sqrt(5)-1) ). - R. J. Mathar, Feb 14 2011 MATHEMATICA Table[Floor[(n + 1/4)*(Sqrt[5] - 1)], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *) CROSSREFS Cf. A001964. Sequence in context: A180917 A127428 A039187 * A287183 A039140 A249031 Adjacent sequences:  A001960 A001961 A001962 * A001964 A001965 A001966 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified January 20 02:13 EST 2019. Contains 319320 sequences. (Running on oeis4.)