"EFJ" (unordered, size, labeled) transform of 1,2,3,4,...

Terms

a(0) =1a(1) =1a(2) =2a(3) =9a(4) =16a(5) =85a(6) =516a(7) =1519a(8) =6280a(9) =45441a(10) =431740a(11) =1394371a(12) =8370924a(13) =43960657a(14) =459099018a(15) =6135631545a(16) =23813007376a(17) =150537761905