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A061169 Third column of Lucas bisection triangle (even part). 2

%I #9 Feb 07 2023 12:43:42

%S 1,39,315,1687,7470,29634,109421,384105,1298613,4264835,13686456,

%T 43102644,133636825,408900987,1237114335,3706490479,11010661266,

%U 32463981270,95081107013,276820695645,801633669561

%N Third column of Lucas bisection triangle (even part).

%C Numerator of g.f. is row polynomial Sum_{m=0..4} A061186(3,m)*x^m.

%H Michael De Vlieger, <a href="/A061169/b061169.txt">Table of n, a(n) for n = 0..2374</a>

%H Geoffrey B. Campbell, <a href="https://arxiv.org/abs/2302.01091">Vector Partition Identities for 2D, 3D and nD Lattices</a>, arXiv:2302.01091 [math.CO], 2023.

%F a(n) = A060923(n+2, 2).

%F G.f.: (1+x)*(1+29*x-35*x^2+12*x^3)/(1-3*x+x^2)^3.

%t CoefficientList[Series[(1 + x) (1 + 29 x - 35 x^2 + 12 x^3)/(1 - 3 x + x^2)^3, {x, 0, 20}], x] (* _Michael De Vlieger_, Feb 06 2023 *)

%Y A002878(n)=A060923(n, 0), A060934.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Apr 20 2001

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Last modified March 28 14:13 EDT 2024. Contains 371254 sequences. (Running on oeis4.)