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 A003413 From a nim-like game. (Formerly M0521) 1
 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; text; internal format)
 OFFSET 0,2 REFERENCES R. K. Guy, personal communication. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 R. K. Guy, Letter to N. J. A. Sloane, Apr 1975 Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992. Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992. Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 1). 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, Dec 05 2007 MAPLE A003413:=-(z**5+z**3+1)*(z**2+z+1)/(z**6+z-1); # Simon Plouffe in his 1992 dissertation MATHEMATICA Join[{1, 2}, LinearRecurrence[{1, 0, 0, 0, 0, 1}, {3, 4, 5, 7, 9, 12}, 80]] (* Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *) CROSSREFS Cf. A005708. Sequence in context: A062188 A122129 A280909 * A100853 A174065 A121659 Adjacent sequences:  A003410 A003411 A003412 * A003414 A003415 A003416 KEYWORD nonn AUTHOR STATUS approved

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Last modified January 19 18:25 EST 2020. Contains 331051 sequences. (Running on oeis4.)