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A190871 a(n) = 11*a(n-1) - 11*a(n-2), a(0)=0, a(1)=1. 5
0, 1, 11, 110, 1089, 10769, 106480, 1052821, 10409751, 102926230, 1017681269, 10062305429, 99490865760, 983714163641, 9726456276691, 96170163243550, 950880776635449, 9401816747310889, 92960295677429840, 919143268231308461, 9088012698092664831 (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, -11).

FORMULA

a(n) = ((11+sqrt(77))^n-(11-sqrt(77))^n)/(2^n*sqrt(77)).

G.f.: x/(1-11x+11x^2). - Philippe Deléham, Dec 21 2011

E.g.f.: (2/sqrt(77))*exp(11*x/2)*sinh(sqrt(77)*x/2). - G. C. Greubel, Dec 18 2015

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A057086, A190873.

Sequence in context: A190944 A115822 A162760 * A097784 A121031 A115804

Adjacent sequences:  A190868 A190869 A190870 * A190872 A190873 A190874

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 August 14 19:45 EDT 2020. Contains 336483 sequences. (Running on oeis4.)