A074651 (1/n) * sum over d|n of {mu(n/d) * (3d)! / d!^3}.
6, 42, 558, 8640, 151350, 2858562, 57010422, 1183184640, 25319269980, 555099603450, 12411545042094, 282060978777792, 6498315236374338, 151469476107975354, 3566331985691591550, 84709091524784348160
Offset: 1