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A164110 a(n) = 12*a(n-1) - 34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.

%I A164110 #9 Sep 08 2022 08:45:47
%S A164110 5,36,262,1920,14132,104304,771160,5707584,42271568,313200960,
%T A164110 2321178208,17205305856,127543611200,945542935296,7010032442752,
%U A164110 51971929512960,385322051101952,2856819009782784,21180878379927040
%N A164110 a(n) = 12*a(n-1) - 34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.
%C A164110 Binomial transform of A164038. Sixth binomial transform of A164095.
%H A164110 Vincenzo Librandi, <a href="/A164110/b164110.txt">Table of n, a(n) for n = 0..1000</a>
%H A164110 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-34).
%F A164110 a(n) = ((5+3*sqrt(2))*(6+sqrt(2))^n+(5-3*sqrt(2))*(6-sqrt(2))^n)/2.
%F A164110 G.f.: (5-24*x)/(1-12*x+34*x^2).
%F A164110 E.g.f.: (5*cosh(sqrt(2)*x) + 3*sqrt(2)*sinh(sqrt(2)*x))*exp(6*x). - _G. C. Greubel_, Sep 11 2017
%t A164110 LinearRecurrence[{12,-34}, {5,36}, 50] (* _G. C. Greubel_, Sep 11 2017 *)
%o A164110 (Magma) [ n le 2 select 31*n-26 else 12*Self(n-1)-34*Self(n-2): n in [1..19] ];
%o A164110 (PARI) x='x+O('x^50); Vec((5-24*x)/(1-12*x+34*x^2)) \\ _G. C. Greubel_, Sep 11 2017
%Y A164110 Cf. A164038, A164095.
%K A164110 nonn
%O A164110 0,1
%A A164110 _Klaus Brockhaus_, Aug 10 2009