A340430 - OEIS

A340430

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 - cos(a*Pi/(2*n+1))^2 * cos(b*Pi/(2*k+1))^2).

1, 1, 1, 1, 15, 1, 1, 209, 209, 1, 1, 2911, 32625, 2911, 1, 1, 40545, 5015009, 5015009, 40545, 1, 1, 564719, 770100001, 8238791743, 770100001, 564719, 1, 1, 7865521, 118247646001, 13441754883649, 13441754883649, 118247646001, 7865521, 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, 15, 209, 2911, 40545, ...

1, 209, 32625, 5015009, 770100001, ...