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%I #8 Sep 08 2022 08:45:46
%S 2,21,218,2249,23122,237261,2431978,24913249,255125282,2612122821,
%T 26741573498,273749929529,2802246036082,28684690735101,
%U 293622535632778,3005563816753489,30765291465721922,314916398263094901
%N a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 2, a(1) = 21.
%C Binomial transform of A163067.
%H G. C. Greubel, <a href="/A163068/b163068.txt">Table of n, a(n) for n = 0..985</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-59).
%F a(n) = ((2+sqrt(5))*(8+sqrt(5))^n + (2-sqrt(5))*(8-sqrt(5))^n)/2.
%F G.f.: (2-11*x)/(1-16*x+59*x^2).
%t LinearRecurrence[{16, -59}, {2, 21}, 30] (* _G. C. Greubel_, Jan 08 2018 *)
%o (Magma) [ n le 2 select 19*n-17 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];
%o (PARI) x='x+O('x^30); Vec((2-11*x)/(1-16*x+59*x^2)) \\ _G. C. Greubel_, Jan 08 2018
%Y Cf. A163067.
%K nonn
%O 0,1
%A _Klaus Brockhaus_, Jul 20 2009
%E Definition corrected by _Vincenzo Librandi_, Dec 18 2010
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