A199025 (7*11^n-1)/2.

3, 38, 423, 4658, 51243, 563678, 6200463, 68205098, 750256083, 8252816918, 90780986103, 998590847138, 10984499318523, 120829492503758, 1329124417541343, 14620368592954778, 160824054522502563, 1769064599747528198

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)+5.

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

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

Mathematica

CoefficientList[Series[(3 + 2*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
LinearRecurrence[{12, -11}, {3, 38}, 30] (* Harvey P. Dale, Dec 12 2020 *)

Prog

(Magma) [(7*11^n-1)/2 : n in [0..20]]

Crossrefs

Sequence in context: A050394 A281798 A156071 * A265914 A005780 A033678

Adjacent sequences: A199022 A199023 A199024 * A199026 A199027 A199028

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 02 2011

Status

approved