Largest prime factor of numerator of Sum_{k=0...n} 1/k!, with a(0) = 1.

Terms

a(0) =1a(1) =2a(2) =5a(3) =2a(4) =13a(5) =163a(6) =103a(7) =137a(8) =863a(9) =98641a(10) =10687a(11) =31469a(12) =1540901a(13) =522787a(14) =5441a(15) =226871807a(16) =13619a(17) =1276861a(18) =414026539a(19) =2124467a(20) =12670743557a(21) =838025081381a(22) =44659157a(23) =323895443a(25) =54352957