Numbers n such that n! has a record number of zeros.

Terms

a(0) =0a(1) =5a(2) =7a(3) =12a(4) =18a(5) =19a(6) =20a(7) =22a(8) =25a(9) =28a(10) =34a(11) =37a(12) =38a(13) =50a(14) =57a(15) =61a(16) =73a(17) =85a(18) =94a(19) =105a(20) =114a(21) =115a(22) =122a(23) =124a(24) =127a(25) =133a(26) =153a(27) =154a(28) =162a(29) =172