Geometric mean of digits = 2 and digits are in nondecreasing order.

Terms

a(0) =2a(1) =14a(2) =22a(3) =118a(4) =124a(5) =222a(6) =1128a(7) =1144a(8) =1224a(9) =2222a(10) =11148a(11) =11228a(12) =11244a(13) =12224a(14) =22222a(15) =111188a(16) =111248a(17) =111444a(18) =112228a(19) =112244a(20) =122224a(21) =222222a(22) =1111288a(23) =1111448a(24) =1112248a(25) =1112444a(26) =1122228a(27) =1122244a(28) =1222224a(29) =2222222