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 A168300 a(n) = 6*n - a(n-1) - 2 with a(1)=5. 3
 5, 5, 11, 11, 17, 17, 23, 23, 29, 29, 35, 35, 41, 41, 47, 47, 53, 53, 59, 59, 65, 65, 71, 71, 77, 77, 83, 83, 89, 89, 95, 95, 101, 101, 107, 107, 113, 113, 119, 119, 125, 125, 131, 131, 137, 137, 143, 143, 149, 149, 155, 155, 161, 161, 167, 167, 173, 173, 179, 179 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1, 1, -1). FORMULA From R. J. Mathar, Jan 03 2011: (Start) a(n+1) = A016969(floor(n/2)). G.f.: x*(5 + x^2)/((1+x)*(1-x)^2). (End) a(n) = (6*n - 3*(-1)^n + 1)/2. - Bruno Berselli, Apr 14 2011 E.g.f.: (1/2)*(-3 + 2*exp(x) + (1 + 6*x)*exp(2*x))*exp(-x). - G. C. Greubel, Jul 17 2016 MATHEMATICA Table[(6*n-3*(-1)^n+1)/2, {n, 1, 70}] (* Vincenzo Librandi, Feb 22 2012 *) LinearRecurrence[{1, 1, -1}, {5, 5, 11}, 50] (* G. C. Greubel, Jul 17 2016 *) PROG (Magma) [n le 2 select 5 else 6*n-Self(n-1)-2: n in [1..60]]; // Bruno Berselli, Apr 14 2011 CROSSREFS Sequence in context: A287996 A239355 A218121 * A356048 A101203 A141244 Adjacent sequences: A168297 A168298 A168299 * A168301 A168302 A168303 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Nov 22 2009 EXTENSIONS G.f. corrected by Bruno Berselli, Apr 14 2011 STATUS approved

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Last modified March 5 02:44 EST 2024. Contains 370537 sequences. (Running on oeis4.)