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Search: id:A001953
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| A001953 |
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Floor [(n+1/2)sqrt(2)]
(Formerly M0543 N0193)
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+0
3
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| 0, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 53, 54, 55, 57, 58, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78, 79, 81, 82, 84, 85, 86, 88, 89, 91, 92, 94, 95, 96, 98, 99
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The g.f. -z*(-2-z**2-2*z**3-z**4-z-z**7+z**8)/(z**4+z**3+z**2+z+1)/(z-1)**2 conjectured by S. Plouffe in his 1992 dissertation is wrong.
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REFERENCES
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I. G. Connell, A generalization of Wythoff's game, Canad. Math. Bull., 2 (1959), 181-190.
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
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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PROGRAM
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(PARI) a(n)=floor((n+1/2)*sqrt(2))
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CROSSREFS
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Complement of A001954.
Sequence in context: A070124 A059097 A047301 this_sequence A079057 A006254 A111333
Adjacent sequences: A001950 A001951 A001952 this_sequence A001954 A001955 A001956
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Michael Somos, Apr 26, 2000.
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