Distance from n!+1 to next larger square.

Terms

a(0) =2a(1) =1a(2) =2a(3) =0a(4) =0a(5) =8a(6) =0a(7) =80a(8) =728a(9) =224a(10) =323a(11) =39168a(12) =82943a(13) =176399a(14) =215295a(15) =3444735a(16) =26167683a(17) =114349224a(18) =255004928a(19) =1158920360a(20) =11638526760a(21) =42128246888a(22) =191052974115a(23) =97216010328