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a(1)=4, a(2)=3, a(n) = 4*a(n-1) + 3*a(n-2).
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nonn,easy,changed
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a(1)=4, a(2)=3, a(n)=4*a(n-1) + 3*a(n-2).
<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4, 3).
G.f.: x*(4-13*x)/(1-4*x-3*x^2). - _Bruno Berselli, _, May 24 2011
(Maxima) a[1]:4$ a[2]:3$ a[n]:=4*a[n-1]+3*a[n-2]$ makelist(a[n], n, 1, 24); [/* _Bruno Berselli, _, May 24 2011] */
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a(n) = 5/14*sqrt(7)*((2-sqrt(7))^(n-1)-(2+sqrt(7))^(n-1))+2*((2-sqrt(7))^(n-1)+(2 +sqrt(7))^(n-1)). - Paolo P. Lava, May 24 2011
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4, 3).
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