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 A094703 a(1)=1, a(2)=11, a(n+2) = 8*a(n+1) + 21*a(n). 3
 1, 11, 109, 1103, 11113, 112067, 1129909, 11392679, 114869521, 1158202427, 11677879357, 117745285823, 1187197753081, 11970233026931, 120693017030149, 1216919029806743, 12269905596087073, 123714544394638187, 1247384372674934029, 12577080413686874159 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n+1)/a(n) converges to 4+sqrt(37). LINKS Colin Barker, Table of n, a(n) for n = 1..997 Index entries for linear recurrences with constant coefficients, signature (8,21). FORMULA a(n) = (1/2)*[4-sqrt(37)]^n+(7/74)*sqrt(37)*[4+sqrt(37)]^n+(1/2)*[4+sqrt(37)]^n-(7/74)*[4 -sqrt(37)]^n*sqrt(37), with n>=0. - Paolo P. Lava, Jul 08 2008 G.f.: -x*(3*x+1) / (21*x^2+8*x-1). - Colin Barker, May 22 2015 PROG (PARI) Vec(-x*(3*x+1)/(21*x^2+8*x-1) + O(x^100)) \\ Colin Barker, May 22 2015 CROSSREFS Cf. A093103, A093117. Sequence in context: A054320 A287836 A124290 * A169631 A280855 A103542 Adjacent sequences:  A094700 A094701 A094702 * A094704 A094705 A094706 KEYWORD nonn,easy AUTHOR Gary W. Adamson, May 21 2004 EXTENSIONS More terms from Robert G. Wilson v, May 24 2004 Edited by Don Reble, Nov 04 2005 STATUS approved

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Last modified February 21 16:08 EST 2019. Contains 320375 sequences. (Running on oeis4.)