Least k such that prime(n)^3 divides binomial(2k,k).

Terms

a(0) =7a(1) =14a(2) =63a(3) =172a(4) =666a(5) =1099a(6) =2457a(7) =3430a(8) =6084a(9) =12195a(10) =14896a(11) =25327a(12) =34461a(13) =39754a(14) =51912a(15) =74439a(16) =102690a(17) =113491a(18) =150382a(19) =178956a(20) =194509a(21) =246520a(22) =285894a(23) =352485a(24) =456337a(25) =515151a(26) =546364a(27) =612522a(28) =647515a(29) =721449