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A189800
a(n) = 6*a(n-1) + 8*a(n-2), with a(0)=0, a(1)=1.
4
0, 1, 6, 44, 312, 2224, 15840, 112832, 803712, 5724928, 40779264, 290475008, 2069084160, 14738305024, 104982503424, 747801460736, 5326668791808, 37942424436736, 270267896954880, 1925146777223168, 13713023838978048, 97679317251653632, 695780094221746176
OFFSET
0,3
FORMULA
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved