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Search: id:A003411
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| A003411 |
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Losing initial positions in game: two players alternate in removing >= 1 stones; last player wins; first player may not remove all stones; each move <= 3 times previous move.
(Formerly M0561)
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+0
2
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| 1, 2, 3, 4, 6, 8, 11, 15, 21, 29, 40, 55, 76, 105, 145, 200, 276, 381, 526, 726, 1002, 1383, 1909, 2635, 3637, 5020, 6929, 9564, 13201, 18221, 25150, 34714, 47915, 66136
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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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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FORMULA
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a(n) = a(n-1) + a(n-4), n >= 5; G.f.: (1+x+x^2+x^3+x^4)/(1-x-x^4).
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MAPLE
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A003411:=-(1+z+z**2+z**3+z**4)/(-1+z+z**4); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Presumably equals A048590(n-3) - 3, n>3.
Adjacent sequences: A003408 A003409 A003410 this_sequence A003412 A003413 A003414
Sequence in context: A006683 A014213 A064323 this_sequence A034081 A064660 A066806
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy, Rodney W. Topor (rwt(AT)cit.gu.edu.au).
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