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A190872 a(n) = 11*a(n-1) - 9*a(n-2), a(0)=0, a(1)=1 6
0, 1, 11, 112, 1133, 11455, 115808, 1170793, 11836451, 119663824, 1209774005, 12230539639, 123647969984, 1250052813073, 12637749213947, 127764766035760, 1291672683467837, 13058516623824367, 132018628710857504, 1334678266205013241, 13493293269857428115 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11, -9).

FORMULA

a(n) = ((11+sqrt(85))^n-(11-sqrt(85))^n)/(2^n*sqrt(85)).

G.f.: x/(1-11*x+9*x^2). - Philippe Deléham, Feb 12 2012

E.g.f.: (2/sqrt(85))*exp(11*x/2)*sinh(sqrt(85)*x/2). - G. C. Greubel, Dec 18 2015

MATHEMATICA

LinearRecurrence[{11, -9}, {0, 1}, 50] (* T. D. Noe, May 23 2011 *)

PROG

(PARI) concat(0, Vec(x/(1-11*x+9*x^2) + O(x^100))) \\ Altug Alkan, Dec 18 2015

(MAGMA) I:=[0, 1]; [n le 2 select I[n] else 11*Self(n-1)-9*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Dec 19 2015

CROSSREFS

Cf. A190871, A190873

Sequence in context: A059996 A132938 A056618 * A024145 A053055 A024148

Adjacent sequences:  A190869 A190870 A190871 * A190873 A190874 A190875

KEYWORD

nonn

AUTHOR

Rolf Pleisch, May 22 2011

EXTENSIONS

Extended by T. D. Noe, May 23 2011

STATUS

approved

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Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)