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A220436 a(n) = A127546(n)^2. 0

%I

%S 4,36,196,1444,9604,66564,454276,3118756,21362884,146458404,

%T 1003749124,6880038916,47155859716,323212716324,2215328606404,

%U 15184099435684,104073336269956,713329336067076,4889231802533764,33511293841053604,229689823620354244,1574317475335503396,10790532493690424836

%N a(n) = A127546(n)^2.

%H Shalosh B. Ekhad and Doron Zeilberger, <a href="http://arxiv.org/abs/1206.4864">Automatic Counting of Tilings of Skinny Plane Regions</a>, arXiv preprint arXiv:1206.4864, 2012.

%F Empirical g.f.: -4*(x^4-4*x^3-11*x^2+4*x+1) / ((x-1)*(x^2-7*x+1)*(x^2+3*x+1)). - _Colin Barker_, Jul 22 2013

%F a(n) = 4*(4*((-1)^(n + 1)*Lucas(2*(n + 1)) + Lucas(4*(n + 1))) + 9)/25. - _Ehren Metcalfe_, Feb 18 2017

%t Table[Total[Fibonacci[Range[n, n + 2]]^2]^2, {n, 0, 22}] (* or *)

%t Table[4 (4 ((-1)^(n + 1) LucasL[2 (n + 1)] + LucasL[4 (n + 1)]) + 9)/25, {n, 0, 22}] (* _Michael De Vlieger_, Feb 18 2017 *)

%Y Cf. A127546.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Dec 16 2012

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Last modified February 26 17:19 EST 2020. Contains 332293 sequences. (Running on oeis4.)