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 A084858 Binomial transform of A001651. 11
 1, 3, 9, 24, 60, 144, 336, 768, 1728, 3840, 8448, 18432, 39936, 86016, 184320, 393216, 835584, 1769472, 3735552, 7864320, 16515072, 34603008, 72351744, 150994944, 314572800, 654311424, 1358954496, 2818572288, 5838471168, 12079595520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n+1)/3 = A001792(n). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-4). FORMULA G.f.: (x^2 - x + 1)/(1-2*x)^2. a(n) = 3*(0^n/3 + 2^n + n*2^n)/4. For n > 1: a(n) = 2*a(n-1) + 3*2^(n-2). - Philippe Deléham, Nov 10 2011 a(n) = 4*a(n-1) - 4*a(n-2). - Vincenzo Librandi, Jun 24 2012 MATHEMATICA CoefficientList[Series[(x^2-x+1)/(1-2x)^2, {x, 0, 40}], x] (* Vincenzo Librandi, Jun 24 2012 *) PROG (PARI) a(n)=3*(0^n/3+2^n+n<

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Last modified May 22 06:54 EDT 2022. Contains 353933 sequences. (Running on oeis4.)