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Binomial transform of A073145.
1

%I #5 Jun 17 2023 07:44:41

%S 3,4,4,-2,-24,-76,-164,-248,-160,520,2544,6736,12720,15552,-640,

%T -70432,-246784,-565824,-923456,-792448,1239296,7864960,22439168,

%U 45045504,61276928,19713024,-198718464,-790598144,-1930655744,-3376471040,-3503145984,2384930816,23805657088

%N Binomial transform of A073145.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 2).

%F O.g.f.: (3-8x+6x^2)/(1-4x+6x^2-2x^3); a(n)=4a(n-1)-6a(n-2)+2a(n-3), a(0)=3, a(1)=4, a(2)=4

%t CoefficientList[Series[(3-8*x+6*x^2)/(1-4*x+6*x^2-2*x^3), {x, 0, 50}], x]

%Y Cf. A073145.

%K easy,sign

%O 0,1

%A Mario Catalani (mario.catalani(AT)unito.it), Aug 03 2002