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A001954
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Wythoff game.
(Formerly M3774 N1539)
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2
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1, 5, 8, 11, 15, 18, 22, 25, 29, 32, 35, 39, 42, 46, 49, 52, 56, 59, 63, 66, 69, 73, 76, 80, 83, 87, 90, 93, 97, 100, 104, 107, 110, 114, 117, 121, 124, 128, 131, 134, 138, 141, 145, 148, 151, 155, 158, 162, 165, 169, 172, 175, 179, 182, 186, 189, 192, 196, 199
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Winning positions in the 2-Wythoff game, the u-pile in Connell's nomenclature; v-pile numbers in A001953.
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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).
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LINKS
| Ian G. Connell, A generalization of Wythoff's game, Canad. Math. Bull. 2 (1959) 181-190
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FORMULA
| a(n) = floor[(n+1/2)*(2+sqrt(2))].
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PROG
| (PARI) a(n)=floor((n+1/2)*(2+sqrt(2)))
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CROSSREFS
| Complement of A001953.
Sequence in context: A184928 A186238 A118520 * A006620 A176628 A162939
Adjacent sequences: A001951 A001952 A001953 * A001955 A001956 A001957
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Michael Somos, Apr 26, 2000.
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