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A003412
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From a nim-like game.
(Formerly M0559)
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0
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1, 2, 3, 4, 6, 8, 11, 14, 18, 24, 32, 43, 54, 68, 86, 110, 142, 185, 239, 307, 393, 503, 645, 830, 1069, 1376, 1769, 2272, 2917, 3747, 4816, 6192, 7961, 10233, 13150, 16897, 21713, 27905, 35866, 46099, 59249, 76146, 97859, 125764, 161630, 207729, 266978
(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
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FORMULA
| Recurrence: a(n) = a(n-1) + a(n-6) for n >= 12.
O.g.f.: -(1+x+x^2+x^3+2*x^4+2*x^5+2*x^6+x^7+x^8+2*x^9+2*x^10+3*x^11)/(-1+x+x^6) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 05 2007
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MATHEMATICA
| Join[{1, 2, 3, 4, 6, 8}, LinearRecurrence[{1, 0, 0, 0, 0, 1}, {11, 14, 18, 24, 32, 43}, 80]] (* From Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *)
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CROSSREFS
| Cf. A005708.
Sequence in context: A143611 A062464 A053270 * A038348 A035945 A094707
Adjacent sequences: A003409 A003410 A003411 * A003413 A003414 A003415
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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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