This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A215063 #11 Dec 25 2023 18:05:15 %S A215063 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 A215063 -6,1,27,-126,189,-105,0,21,-7,1,-27,216,-504,504,-210,0,28,-8,1,0, %U A215063 -243,972,-1512,1134,-378,0,36,-9,1,81,0,-1215 %N A215063 Triangle read by rows, e.g.f. exp(x*(z-3/2))*(exp(3*x/2)+2*cos(sqrt(3)*x/2))/3. %C A215063 Matrix inverse is A215062. %e A215063 [0] [1] %e A215063 [1] [-1, 1] %e A215063 [2] [1, -2, 1] %e A215063 [3] [0, 3, -3, 1] %e A215063 [4] [-3, 0, 6, -4, 1] %e A215063 [5] [9, -15, 0, 10, -5, 1] %e A215063 [6] [-18, 54, -45, 0, 15, -6, 1] %e A215063 [7] [27, -126, 189, -105, 0, 21, -7, 1] %e A215063 [8] [-27, 216, -504, 504, -210, 0, 28, -8, 1] %e A215063 [9] [0, -243, 972, -1512, 1134, -378, 0, 36, -9, 1] %o A215063 (Sage) %o A215063 def A215063_triangle(dim): # See A215060 for function 'triangle'. %o A215063 var('x, z') %o A215063 f = exp(x*(z-3/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3) %o A215063 return triangle(f, dim) %o A215063 A215063_triangle(12) %Y A215063 Cf. A215060, A215061, A215062, A215064, A215065. %K A215063 sign,tabl %O A215063 0,5 %A A215063 _Peter Luschny_, Aug 01 2012