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A003413
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From a nim-like game.
(Formerly M0521)
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1
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1, 2, 3, 4, 5, 7, 9, 12, 15, 19, 24, 31, 40, 52, 67, 86, 110, 141, 181, 233, 300, 386, 496, 637, 818, 1051, 1351, 1737, 2233, 2870, 3688, 4739, 6090, 7827, 10060, 12930, 16618, 21357, 27447, 35274, 45334, 58264, 74882, 96239, 123686, 158960, 204294, 262558
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| R. K. Guy, personal communication.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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
| Recurrence: a(n) = a(n-1) + a(n-6) for n >= 8.
O.g.f.: -(x^2+x+1)*(x^5+x^3+1)/(-1+x+x^6) = -x-1+(-2-x-x^3-x^4-2*x^5)/(-1+x+x^6) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 05 2007
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MAPLE
| A003413:=-(z**5+z**3+1)*(z**2+z+1)/(z**6+z-1); [S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| Join[{1, 2}, LinearRecurrence[{1, 0, 0, 0, 0, 1}, {3, 4, 5, 7, 9, 12}, 80]] (* From Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *)
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CROSSREFS
| Cf. A005708.
Sequence in context: A039853 A062188 A122129 * A100853 A174065 A121659
Adjacent sequences: A003410 A003411 A003412 * A003414 A003415 A003416
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KEYWORD
| nonn,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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