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 A077852 Expansion of (1-x)^(-1)/(1-2*x-x^3). 5
 1, 3, 7, 16, 36, 80, 177, 391, 863, 1904, 4200, 9264, 20433, 45067, 99399, 219232, 483532, 1066464, 2352161, 5187855, 11442175, 25236512, 55660880, 122763936, 270764385, 597189651, 1317143239, 2905050864, 6407291380, 14131726000, 31168502865, 68744297111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-2,1,-1). FORMULA From R. J. Mathar, May 15 2008: (Start) a(n) = 3*a(n-1) - 2*a(n-2) + a(n-3) - a(n-4). a(n+1) - a(n) = A008998(n+1). (End) a(n) = 2*a(n-1) + a(n-3) + 1. - Greg Dresden, Apr 04 2021 MAPLE a:= n-> (<<0|1|0|0>, <0|0|1|0>, <0|0|0|1>, <-1|1|-2|3>>^n)[4, 4]: seq(a(n), n=0..30); # Alois P. Heinz, Nov 12 2017 MATHEMATICA CoefficientList[Series[(1-x)^(-1)/(1-2x-x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[{3, -2, 1, -1}, {1, 3, 7, 16}, 40] (* Harvey P. Dale, Oct 05 2012 *) CROSSREFS Cf. A019489. - R. J. Mathar, Sep 19 2008 Sequence in context: A045891 A081037 A019489 * A218983 A020746 A033303 Adjacent sequences: A077849 A077850 A077851 * A077853 A077854 A077855 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Nov 17 2002 STATUS approved

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Last modified February 21 10:38 EST 2024. Contains 370228 sequences. (Running on oeis4.)