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 A108404 Expansion of (1-4x)/(1-8x+11x^2). 6
 1, 4, 21, 124, 761, 4724, 29421, 183404, 1143601, 7131364, 44471301, 277325404, 1729418921, 10784771924, 67254567261, 419404046924, 2615432135521, 16310012568004, 101710347053301, 634272638178364, 3955367287840601 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A098648. Second binomial transform of A001077. Third binomial transform of A084057. 4th binomial transform of (1, 0, 5, 0, 25, 0, 125, 0, 625, 0, 3125, ...). LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1258 Index entries for linear recurrences with constant coefficients, signature (8,-11). FORMULA E.g.f.: exp(4x)cosh(sqrt(5)x). a(n) = 8a(n-1) - 11a(n-2), a(0) = 1, a(1) = 4. a(n) = ((4+sqrt(5))^n + (4-sqrt(5))^n)/2. a(n+1)/a(n) converges to 4 + sqrt(5) = 6.2360679774997896964... = 4+A002163. a(n) = A091870(n+1)-4*A091870(n). - R. J. Mathar, Nov 10 2013 MATHEMATICA CoefficientList[Series[(1-4x)/(1-8x+11x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{8, -11}, {1, 4}, 30] (* Harvey P. Dale, Jan 03 2012 *) CROSSREFS Cf. A001077, A084057, A098648. Sequence in context: A001888 A103769 A003014 * A115136 A101478 A153291 Adjacent sequences:  A108401 A108402 A108403 * A108405 A108406 A108407 KEYWORD easy,nonn AUTHOR Philippe Deléham, Jul 04 2005 STATUS approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)