A074652 1/n * sum over d|n of {mu(n/d) * (4d)! / d!^4}.
24, 1248, 123192, 15765120, 2346549000, 384790520160, 67502621079768, 12445136548416000, 2383639140696105600, 470536087106183748000, 95188348079916284698296, 19650775121845025331180672
Offset: 1