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 A122574 a(1) = a(2) = 1, a(n) = -11*a(n-1) + a(n-2). 2
 1, 1, -10, 111, -1231, 13652, -151403, 1679085, -18621338, 206513803, -2290273171, 25399518684, -281684978695, 3123934284329, -34644962106314, 384218517453783, -4261048654097927, 47255753712530980, -524074339491938707, 5812073488123856757, -64456882708854363034 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES Harry Hochstadt, The Functions of Mathematical Physics, Wiley, New York (1971), p. 170; also Dover, New York (1986), 129-130. LINKS Indranil Ghosh, Table of n, a(n) for n = 1..958 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (-11,1). FORMULA |a(n)| = A049666(n-1) - A049666(n-2), n > 1. [R. J. Mathar, Nov 02 2008] G.f.: (x+12*x^2)/(1+11*x-x^2). [Philippe Deléham, Nov 20 2008] a(n) = (13/50)*sqrt(5)*((-11/2 + (5/2)*sqrt(5))^(n-1) - (-11/2 - (5/2)*sqrt(5))^(n-1)) + (1/2)*((-11/2 + (5/2)*sqrt(5))^(n-1) + (-11/2 - (5/2)*sqrt(5))^(n-1)), with n >= 1. [Paolo P. Lava, Feb 11 2009] MATHEMATICA LinearRecurrence[{-11, 1}, {1, 1}, 30] (* Harvey P. Dale, Aug 11 2017 *) CROSSREFS Sequence in context: A078252 A014993 A015592 * A176736 A084031 A210507 Adjacent sequences:  A122571 A122572 A122573 * A122575 A122576 A122577 KEYWORD sign,easy AUTHOR Roger L. Bagula, Sep 17 2006 EXTENSIONS Edited by N. J. A. Sloane, Dec 04 2006 STATUS approved

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Last modified September 21 13:00 EDT 2020. Contains 337272 sequences. (Running on oeis4.)