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 A001932 Sum of Fibonacci (A000045) and Pell (A000129) numbers. (Formerly M0844 N0319) 2
 0, 2, 3, 7, 15, 34, 78, 182, 429, 1019, 2433, 5830, 14004, 33694, 81159, 195635, 471819, 1138286, 2746794, 6629290, 16001193, 38624911, 93240069, 225087338, 543386088, 1311813146, 3166937355, 7645566463, 18457873863, 44560996378, 107579352390, 259718869118 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 0..501 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 (3, 0, -3, -1). MAPLE gfpell := x/(1-2*x-x^2): gffib := x/(1-x-x^2): s := series(gfpell+gffib, x, 100): for i from 1 to 60 do printf(`%d, `, coeff(s, x, i)) od: A001932:=-(z+2)*(2*z-1)/(z**2+z-1)/(z**2+2*z-1); # Conjectured (correctly) by Simon Plouffe in his 1992 dissertation with (combinat):seq(sum((fibonacci(n, m)), m=1..2), n=1..30); # Zerinvary Lajos, Jun 19 2008 MATHEMATICA nn = 30; CoefficientList[Series[-x*(x + 2)*(2*x - 1)/(x^2 + x - 1)/(x^2 + 2*x - 1), {x, 0, nn}], x] (* T. D. Noe, Aug 17 2012 *) LinearRecurrence[{3, 0, -3, -1}, {0, 2, 3, 7}, 30] (* T. D. Noe, Apr 16 2013 *) CROSSREFS Sequence in context: A323598 A078007 A198683 * A213920 A248869 A005909 Adjacent sequences:  A001929 A001930 A001931 * A001933 A001934 A001935 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from James A. Sellers, Apr 06 2001 STATUS approved

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Last modified June 2 06:13 EDT 2020. Contains 334767 sequences. (Running on oeis4.)