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A182826 Coefficient array for orthogonal polynomials p(n,x)=(x-(2n-1))*p(n-1,x)-(2n-2)^2*p(n-2,x), p(0,x)=1,p(1,x)=x-1.

%I A182826 #8 Jul 19 2019 14:27:28
%S A182826 1,-1,1,-1,-4,1,21,3,-9,1,-111,144,30,-16,1,-345,-1599,450,110,-25,1,
%T A182826 14895,2844,-9549,840,285,-36,1,-143955,208179,62181,-36309,735,609,
%U A182826 -49,1,-760095,-3824064,1147068,442176,-103194,-1344,1148,-64,1,49774095,10955169,-39242556,2925180,2008314,-236250,-8316,1980,-81,1,-699437025,1080622620,384913701,-238086000
%N A182826 Coefficient array for orthogonal polynomials p(n,x)=(x-(2n-1))*p(n-1,x)-(2n-2)^2*p(n-2,x), p(0,x)=1,p(1,x)=x-1.
%C A182826 Inverse is A182824. First column is A182827.
%F A182826 Exponential Riordan array [1/sqrt(1+2x+4x^2), arctan(sqrt(3)*x/(1+x))/sqrt(3)].
%e A182826 Triangle begins
%e A182826 1,
%e A182826 -1, 1,
%e A182826 -1, -4, 1,
%e A182826 21, 3, -9, 1,
%e A182826 -111, 144, 30, -16, 1,
%e A182826 -345, -1599, 450, 110, -25, 1,
%e A182826 14895, 2844, -9549, 840, 285, -36, 1,
%e A182826 -143955, 208179, 62181, -36309, 735, 609, -49, 1,
%e A182826 -760095, -3824064, 1147068, 442176, -103194, -1344, 1148, -64, 1
%t A182826 (* The function RiordanArray is defined in A256893. *)
%t A182826 RiordanArray[1/Sqrt[1 + 2# + 4#^2]&, ArcTan[Sqrt[3] #/(1 + #)]/Sqrt[3]&, 10, True] // Flatten (* _Jean-François Alcover_, Jul 19 2019 *)
%K A182826 sign,easy,tabl
%O A182826 0,5
%A A182826 _Paul Barry_, Dec 05 2010