User blog comment:Vel!/Factoid notation/@comment-5029411-20140105230614

! = n

! = n!

! = n!!

! = n!!!

! = !> = n!!...!! with (n-1 !'s) ~ n; = n!!...!! (n !'s)

! = !*! ~ n;! = n;*(n-1);!

! ~ n;; = n;!!..!! (n !'s)

! ~ n;;..;; (n-1 ;'s) ~ n : = n;;..;; (n ;'s)

! ~ n : : = n : ;;..;; (n ;'s)

! ~ n> = n : : ... : : (n : 's)

! ~ n< = n>>...>> (n >'s)