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 A006492 Generalized Lucas numbers. (Formerly M3751) 4
 1, 0, 5, 6, 21, 40, 93, 190, 396, 796, 1586, 3108, 6025, 11552, 21947, 41346, 77311, 143580, 265013, 486398, 888122, 1613944, 2920100, 5261880, 9445905, 16897328, 30127665, 53552190, 94915273, 167771168, 295794125, 520254094, 912962120, 1598652948 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,3 REFERENCES 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 = 3..1000 L. Carlitz and R. Scoville, Zero-one sequences and Fibonacci numbers, Fibonacci Quarterly, 15 (1977), 246-254. 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. FORMULA G.f.: [(1-x)^2(1-2x+2x^2)]/[(1-x-x^2)^4]. - Ralf Stephan, Apr 23 2004 MAPLE A006492:=(1-2*z+2*z**2)*(z-1)**2/(z**2+z-1)**4; # Simon Plouffe in his 1992 dissertation. MATHEMATICA CoefficientList[Series[(1 - x)^2 (1 - 2 x + 2 x^2) / (1 - x - x^2)^4, {x, 0, 33}], x] (* Vincenzo Librandi, Apr 26 2017 *) CROSSREFS Sequence in context: A037951 A095308 A132796 * A110344 A224915 A135301 Adjacent sequences:  A006489 A006490 A006491 * A006493 A006494 A006495 KEYWORD nonn AUTHOR STATUS approved

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Last modified February 27 15:49 EST 2020. Contains 332307 sequences. (Running on oeis4.)