Numbers such that the sum of the factorials of the digits of the fifth power is a square.

Terms

a(0) =1a(1) =396a(2) =849a(3) =1000a(4) =2807a(5) =4274a(6) =4565a(7) =4971a(8) =5000a(9) =6030a(10) =6487a(11) =6942a(12) =7281a(13) =8210a(14) =11163a(15) =11847a(16) =11895a(17) =15015a(18) =17682a(19) =19043a(20) =19584a(21) =19586a(22) =20500a(23) =20577a(24) =20957a(25) =21315a(26) =23000a(27) =23188a(28) =23397a(29) =25747