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

Terms

a(0) =1a(1) =39a(2) =100a(3) =200a(4) =305a(5) =590a(6) =652a(7) =700a(8) =1207a(9) =1270a(10) =1900a(11) =2302a(12) =2491a(13) =4666a(14) =6697a(15) =9282a(16) =10188a(17) =10480a(18) =11853a(19) =12421a(20) =13630a(21) =13866a(22) =14043a(23) =14208a(24) =14963a(25) =15739a(26) =15740a(27) =18300a(28) =18543a(29) =18951