--------------------------------------- Here is the Quasi-polynomial Generalized Capsule for the coefficient of q^(1\ 7*n+5) in the solution of the functional equation q f(q) f(q) = 1 + q + ---------- 2 7 (-q + 1) 231 142477 3 8435621 4 1419857 5 24137569 6 3508171 2 [[---- - ------ n + ------- n - ------- n + -------- n + ------- n 1024 384 9216 1280 46080 46080 27659 24137569 6 15618427 5 7433369 4 1026817 3 - ----- n, -------- n + -------- n + ------- n + ------- n 3840 46080 7680 2304 384 1756253 2 5797 + ------- n + ---- n + 28], 1440 20 [0, 1, 0, 8, 0, 2, 0, 1, 0, 7, 0, 10, 0, 16, 0, 15, 0, 9, 0, 16], [11, 5, 11, 14, 11, 16, 11, 5, 11, 3, 11, 2, 11, 0, 11, 6, 11, 8, 16, 0]] This took, 0.186, seconds.