cp's OEIS Frontend

A341533 Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = sqrt( Product_{a=1..n} Product_{b=1..k} (4*sin((2*a-1)*Pi/(2*n))^2 + 4*sin((2*b-1)*Pi/k)^2) ).

%I A341533 #26 Feb 14 2021 05:52:08
%S A341533 2,8,2,14,36,2,36,50,200,2,82,256,224,1156,2,200,722,2916,1058,6728,2,
%T A341533 478,2916,9922,38416,5054,39204,2,1156,10082,80000,155682,527076,
%U A341533 24200,228488,2,2786,38416,401998,2775556,2540032,7311616,115934,1331716,2
%N A341533 Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = sqrt( Product_{a=1..n} Product_{b=1..k} (4*sin((2*a-1)*Pi/(2*n))^2 + 4*sin((2*b-1)*Pi/k)^2) ).
%e A341533 Square array begins:
%e A341533   2,     8,    14,      36,       82,        200, ...
%e A341533   2,    36,    50,     256,      722,       2916, ...
%e A341533   2,   200,   224,    2916,     9922,      80000, ...
%e A341533   2,  1156,  1058,   38416,   155682,    2775556, ...
%e A341533   2,  6728,  5054,  527076,  2540032,  105125000, ...
%e A341533   2, 39204, 24200, 7311616, 41934482, 4115479104, ...
%o A341533 (PARI) default(realprecision, 120);
%o A341533 T(n, k) = round(sqrt(prod(a=1, n, prod(b=1, k, 4*sin((2*a-1)*Pi/(2*n))^2+4*sin((2*b-1)*Pi/k)^2))));
%Y A341533 Columns 1..7 give A007395, A341543, A231087, A341544, A231485, A341545, A230033.
%Y A341533 Main diagonal gives A341535.
%Y A341533 Cf. A340475.
%K A341533 nonn,tabl
%O A341533 1,1
%A A341533 _Seiichi Manyama_, Feb 13 2021