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%I #19 Jan 15 2023 09:53:07
%S 1,6,18,41,82,152,269,462,778,1293,2130,3488,5689,9254,15026,24369,
%T 39490,63960,103557,167630,271306,439061,710498,1149696,1860337,
%U 3010182,4870674,7881017,12751858,20633048,33385085,54018318,87403594,141422109,228825906
%N Convolution of Lucas numbers and odd numbers.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2,-1,1).
%F a(n) = L(5)*(F(n+1)-1) + L(4)*F(n) - L(3)*n - 2*n, F(n) = A000045(n).
%F a(n) = A033811(n) - 2n. - _N. J. A. Sloane_, Jun 12 2004
%F a(n) = 3*a(n-1)-2*a(n-2)-a(n-3)+a(n-4). G.f.: -x*(x+1)*(2*x+1) / ((x-1)^2*(x^2+x-1)). - _Colin Barker_, May 14 2014
%o (PARI) Vec(-x*(x+1)*(2*x+1)/((x-1)^2*(x^2+x-1)) + O(x^100)) \\ _Colin Barker_, May 14 2014
%Y Cf. A000023, A000045, A033811.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jun 14 1998
%E More terms from _Colin Barker_, May 14 2014
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