Numerical experiments suggest that, for m = 1..9, ..., f(m) := inf ==== m k \ %pi (k 2 - 5) n (- 1) > tan(--------------) (- 1) inf / n + m ==== ==== 2 5 m - 1 \ n = 1 3 2 > --------------------------------------- / m ==== m 3 10 %pi (k 2 - 5) k = - inf (k 2 - 5) csc(-----------------) 2 m 2 ------------------------------------------------------------ 3 5 %pi %pi csc(-----) m 2 = 2, 8, 32 - sqrt(2), 113, 382, 833, 1822, 3713, 7582, ... --rwg