Successive approximations up to 2^n for the 2-adic integer Sum_{k>=0} k!.

Terms

a(0) =0a(1) =0a(2) =2a(3) =2a(4) =10a(5) =26a(6) =26a(7) =26a(8) =26a(9) =26a(10) =538a(11) =538a(12) =2586a(13) =6682a(14) =14874a(15) =31258a(16) =64026a(17) =129562a(18) =129562a(19) =391706a(20) =915994a(21) =1964570a(22) =4061722a(23) =8256026a(24) =8256026a(25) =8256026a(26) =8256026a(27) =8256026a(28) =142473754a(29) =410909210