Number of integers k^5 that divide 1!*2!*3!*...*n!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =6a(6) =8a(7) =10a(8) =42a(9) =64a(10) =200a(11) =432a(12) =588a(13) =1024a(14) =3888a(15) =6300a(16) =21120a(17) =33696a(18) =52080a(19) =114240a(20) =328320a(21) =816480a(22) =3326400a(23) =4435200a(24) =6469632a(25) =20616960a(26) =57153600a(27) =145411200a(28) =258003900a(29) =320973840