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G.f.: -x*(1 - 6*x) / (1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)
(End)
E.g.f.: exp(x)*x*(5*x - 2)/2. - Elmo R. Oliveira, Dec 24 2024
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Colin Barker, <a href="/A326725/b326725.txt">Table of n, a(n) for n = 0..1000</a>
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
From Colin Barker, Aug 04 2019: (Start)
G.f.: -x*(1 - 6*x) / (1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2.
(End)
(PARI) concat(0, Vec(-x*(1 - 6*x) / (1 - x)^3 + O(x^40))) \\ Colin Barker, Aug 04 2019
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