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 A162815 a(n) = 8*a(n-1)-13*a(n-2) for n > 1; a(0) = 5, a(1) = 23. 1
 5, 23, 119, 653, 3677, 20927, 119615, 684869, 3923957, 22488359, 128895431, 738814781, 4234877645, 24274429007, 139142022671, 797568604277, 4571702539493, 26205228460343, 150209694669335, 861009587370221 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Binomial transform of A162814. Inverse binomial transform of A143647. LINKS Index entries for linear recurrences with constant coefficients, signature (8,-13) FORMULA a(n) = ((5+sqrt(3))*(4+sqrt(3))^n+(5-sqrt(3))*(4-sqrt(3))^n)/2. G.f.: (5-17*x)/(1-8*x+13*x^2). MATHEMATICA LinearRecurrence[{8, -13}, {5, 23}, 20] (* Harvey P. Dale, Aug 25 2017 *) PROG (MAGMA) [ n le 2 select 18*n-13 else 8*Self(n-1)-13*Self(n-2): n in [1..20] ]; CROSSREFS Cf. A162814, A143647. Sequence in context: A005393 A193704 A294356 * A033312 A151881 A229811 Adjacent sequences:  A162812 A162813 A162814 * A162816 A162817 A162818 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Jul 18 2009 STATUS approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)