A199027 8*11^n-1.

7, 87, 967, 10647, 117127, 1288407, 14172487, 155897367, 1714871047, 18863581527, 207499396807, 2282493364887, 25107427013767, 276181697151447, 3037998668665927, 33417985355325207, 367597838908577287, 4043576227994350167

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (12,-11).

Formula

a(n) = 11*a(n-1)+10.

a(n) = 12*a(n-1)-11*a(n-2), n>1.

G.f.: (7 + 3*x)/(1 - 12*x + 11*x^2). - Vincenzo Librandi, Jan 04 2013

Mathematica

CoefficientList[Series[(7 + 3*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
LinearRecurrence[{12, -11}, {7, 87}, 30] (* Harvey P. Dale, Jan 30 2013 *)

Prog

(Magma) [8*11^n-1 : n in [0..20]]

Crossrefs

Sequence in context: A295036 A295527 A173812 * A360237 A279845 A231447

Adjacent sequences: A199024 A199025 A199026 * A199028 A199029 A199030

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 02 2011

Status

approved