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 A083294 a(n) = (4 + (-9)^n)/5. 3
 1, -1, 17, -145, 1313, -11809, 106289, -956593, 8609345, -77484097, 697356881, -6276211921, 56485907297, -508373165665, 4575358490993, -41178226418929, 370604037770369, -3335436339933313, 30018927059399825, -270170343534598417, 2431533091811385761 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (-8,9). FORMULA a(n) = (4 + (-9)^n)/5. G.f.: (1+7*x)/((1-x)*(1+9*x)). E.g.f.: (4*exp(x) + exp(-9*x))/5. MATHEMATICA (4+(-9)^Range[0, 20])/5 (* or *) LinearRecurrence[{-8, 9}, {1, -1}, 30] (* Harvey P. Dale, Sep 25 2021 *) PROG (Magma) [(4+(-9)^n)/5: n in [0..30]]; // Vincenzo Librandi, Jun 08 2011 CROSSREFS Cf. A083295. Sequence in context: A181908 A233328 A364155 * A196780 A208506 A299599 Adjacent sequences: A083291 A083292 A083293 * A083295 A083296 A083297 KEYWORD easy,sign AUTHOR Paul Barry, Apr 24 2003 STATUS approved

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Last modified February 26 17:57 EST 2024. Contains 370352 sequences. (Running on oeis4.)