n! never ends in this many 0's.

Terms

a(0) =5a(1) =11a(2) =17a(3) =23a(4) =29a(5) =30a(6) =36a(7) =42a(8) =48a(9) =54a(10) =60a(11) =61a(12) =67a(13) =73a(14) =79a(15) =85a(16) =91a(17) =92a(18) =98a(19) =104a(20) =110a(21) =116a(22) =122a(23) =123a(24) =129a(25) =135a(26) =141a(27) =147a(28) =153a(29) =154