A199314 (11*5^n+1)/4.

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-5).

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

Adjacent sequences: A199311 A199312 A199313 * A199315 A199316 A199317

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 05 2011

Status

approved