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 A170832 a(n) = 3^(floor(n/2))+3^(floor(n/2)-1)-3^(floor((n-1)/3)). 3
 3, 3, 9, 9, 33, 27, 99, 99, 297, 297, 945, 891, 2835, 2835, 8505, 8505, 26001, 25515, 78003, 78003, 234009, 234009, 706401, 702027, 2119203, 2119203, 6357609, 6357609, 19112193, 19072827, 57336579, 57336579, 172009737, 172009737, 516383505, 516029211, 1549150515 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Table of n, a(n) for n=2..38. R. P. Stanley, Problem 11348, Amer. Math. Monthly, 117 (2010), 87-88. Index entries for linear recurrences with constant coefficients, signature (0,3,3,0,-9). FORMULA a(n) = 3*a(n-2) +3*a(n-3) -9*a(n-5). G.f.: -3*x^2*(x^4+3*x^3-x-1) / ((3*x^2-1)*(3*x^3-1)). - Colin Barker, Jul 26 2013 MATHEMATICA LinearRecurrence[{0, 3, 3, 0, -9}, {3, 3, 9, 9, 33}, 40] (* Harvey P. Dale, Dec 18 2015 *) CROSSREFS Cf. A170831, A170833, A170834. Sequence in context: A146575 A373322 A100066 * A232281 A223743 A117783 Adjacent sequences: A170829 A170830 A170831 * A170833 A170834 A170835 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Dec 30 2009 STATUS approved

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Last modified July 19 22:34 EDT 2024. Contains 374441 sequences. (Running on oeis4.)