A340428 - OEIS

A340428

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = 4^(2*n*k) * Product_{a=1..n} Product_{b=1..k} (1 - sin(a*Pi/(2*n+1))^2 * sin(b*Pi/(2*k+1))^2).

1, 1, 1, 1, 7, 1, 1, 61, 61, 1, 1, 547, 4961, 547, 1, 1, 4921, 432461, 432461, 4921, 1, 1, 44287, 38484961, 371647151, 38484961, 44287, 1, 1, 398581, 3445022461, 330435708793, 330435708793, 3445022461, 398581, 1

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..35.

FORMULA

T(n,k) = T(k,n).

EXAMPLE

Square array begins:

1, 1, 1, 1, 1, ...

1, 7, 61, 547, 4921, ...

1, 61, 4961, 432461, 38484961, ...