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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.)