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%I #11 Dec 25 2023 18:05:15
%S 1,-1,1,1,-2,1,0,3,-3,1,-3,0,6,-4,1,9,-15,0,10,-5,1,-18,54,-45,0,15,
%T -6,1,27,-126,189,-105,0,21,-7,1,-27,216,-504,504,-210,0,28,-8,1,0,
%U -243,972,-1512,1134,-378,0,36,-9,1,81,0,-1215
%N Triangle read by rows, e.g.f. exp(x*(z-3/2))*(exp(3*x/2)+2*cos(sqrt(3)*x/2))/3.
%C Matrix inverse is A215062.
%e [0] [1]
%e [1] [-1, 1]
%e [2] [1, -2, 1]
%e [3] [0, 3, -3, 1]
%e [4] [-3, 0, 6, -4, 1]
%e [5] [9, -15, 0, 10, -5, 1]
%e [6] [-18, 54, -45, 0, 15, -6, 1]
%e [7] [27, -126, 189, -105, 0, 21, -7, 1]
%e [8] [-27, 216, -504, 504, -210, 0, 28, -8, 1]
%e [9] [0, -243, 972, -1512, 1134, -378, 0, 36, -9, 1]
%o (Sage)
%o def A215063_triangle(dim): # See A215060 for function 'triangle'.
%o var('x, z')
%o f = exp(x*(z-3/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3)
%o return triangle(f, dim)
%o A215063_triangle(12)
%Y Cf. A215060, A215061, A215062, A215064, A215065.
%K sign,tabl
%O 0,5
%A _Peter Luschny_, Aug 01 2012
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