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A199025

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

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

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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: A281798 A156071 A388419 * A265914 A005780 A033678

Adjacent sequences: A199022 A199023 A199024 * A199026 A199027 A199028

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Nov 02 2011

STATUS

approved

URL: https://oeis.org/A199025

⇱ A199025 - OEIS