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A199314
(11*5^n+1)/4.
1
3, 14, 69, 344, 1719, 8594, 42969, 214844, 1074219, 5371094, 26855469, 134277344, 671386719, 3356933594, 16784667969, 83923339844, 419616699219, 2098083496094, 10490417480469, 52452087402344, 262260437011719, 1311302185058594
OFFSET
0,1
FORMULA
a(n) = 5*a(n-1)-1.
a(n) = 6*a(n-1)-5*a(n-2).
G.f.: (3-4*x)/((1-x)*(1-5*x)).
MATHEMATICA
LinearRecurrence[{6, -5}, {3, 14}, 30] (* or *) NestList[5#-1&, 3, 30] (* Harvey P. Dale, Jul 18 2015 *)
PROG
(Magma) [(11*5^n+1)/4: n in [0..30]];
CROSSREFS
Sequence in context: A151324 A121185 A276904 * A360144 A190725 A151325
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 05 2011
STATUS
approved