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A199018 (3*11^n-1)/2. 1
1, 16, 181, 1996, 21961, 241576, 2657341, 29230756, 321538321, 3536921536, 38906136901, 427967505916, 4707642565081, 51784068215896, 569624750374861, 6265872254123476, 68924594795358241, 758170542748940656, 8339875970238347221 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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.: (1 + 4*x)/(1 - 12*x + 11*x^2). - Vincenzo Librandi, Jan 04 2013

MATHEMATICA

(3*11^Range[0, 20]-1)/2 (* or *) LinearRecurrence[{12, -11}, {1, 16}, 20] (* Harvey P. Dale, Jul 16 2012 *)

CoefficientList[Series[(1 + 4*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)

PROG

(MAGMA) [(3*11^n-1)/2 : n in [0..20]]

CROSSREFS

Sequence in context: A218895 A016909 A001455 * A204608 A279282 A231135

Adjacent sequences:  A199015 A199016 A199017 * A199019 A199020 A199021

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Nov 02 2011

STATUS

approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)