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 A189800 a(n) = 6*a(n-1) + 8*a(n-2), with a(0)=0, a(1)=1. 3
 0, 1, 6, 44, 312, 2224, 15840, 112832, 803712, 5724928, 40779264, 290475008, 2069084160, 14738305024, 104982503424, 747801460736, 5326668791808, 37942424436736, 270267896954880, 1925146777223168, 13713023838978048, 97679317251653632, 695780094221746176 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (6,8) FORMULA a(n) = (1/34)*sqrt(17)*((3+sqrt(17))^n - (3-sqrt(17))^n). - Paolo P. Lava, May 31 2011 G.f.: x/(1 - 2*x*(3+4*x)). - Harvey P. Dale, Jul 26 2011 MATHEMATICA LinearRecurrence[{6, 8}, {0, 1}, 50] CoefficientList[Series[-(x/(-1+6 x+8 x^2)), {x, 0, 50}], x] (* Harvey P. Dale, Jul 26 2011 *) PROG (MAGMA) I:=[0, 1]; [n le 2 select I[n] else 6*Self(n-1)+8*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 14 2011 (PARI) a(n)=([0, 1; 8, 6]^n*[0; 1])[1, 1] \\ Charles R Greathouse IV, Oct 03 2016 CROSSREFS Sequences of the form a(n) = c*a(n-1) + d*a(n-2), with a(0)=0, a(1)=1: c/d...1.......2.......3.......4.......5.......6.......7.......8.......9......10 Sequence in context: A091162 A156002 A091163 * A227665 A102591 A114935 Adjacent sequences:  A189797 A189798 A189799 * A189801 A189802 A189803 KEYWORD nonn,easy AUTHOR Vladimir Joseph Stephan Orlovsky, May 24 2011 STATUS approved

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Last modified September 26 16:43 EDT 2020. Contains 337374 sequences. (Running on oeis4.)