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

Terms

a(0) =1a(1) =7a(2) =10a(3) =36a(4) =54a(5) =62a(6) =600a(7) =658a(8) =692a(9) =823a(10) =888a(11) =907a(12) =1200a(13) =1389a(14) =1898a(15) =2100a(16) =2171a(17) =2824a(18) =3177a(19) =3344a(20) =3711a(21) =3938a(22) =4680a(23) =5029a(24) =5771a(25) =6737a(26) =6787a(27) =6813a(28) =7517a(29) =9600