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A163148 a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 1, a(1) = 13.

%I A163148 #7 Sep 08 2022 08:45:46
%S A163148 1,13,149,1617,17081,177893,1838509,18920457,194255281,1991777533,
%T A163148 20407378949,209003188737,2140015661801,21909062453333,
%U A163148 224284075207069,2295910518566457,23501807859846241,240570205162118893
%N A163148 a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 1, a(1) = 13.
%C A163148 Binomial transform of A163147.
%H A163148 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-59).
%F A163148 a(n) = ((1+sqrt(5))*(8+sqrt(5))^n+(1-sqrt(5))*(8-sqrt(5))^n)/2.
%F A163148 G.f.: (1-3*x)/(1-16*x+59*x^2).
%o A163148 (Magma) [ n le 2 select 12*n-11 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];
%o A163148 (PARI) Vec((1-3*x)/(1-16*x+59*x^2) + O(x^30)) \\ _Jinyuan Wang_, Mar 23 2020
%Y A163148 Cf. A163147.
%K A163148 nonn
%O A163148 0,2
%A A163148 _Klaus Brockhaus_, Jul 21 2009