Numbers with digits nondecreasing and their reciprocals sum to 1/(positive integer).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =7a(7) =8a(8) =9a(9) =22a(10) =36a(11) =44a(12) =66a(13) =88a(14) =236a(15) =244a(16) =333a(17) =488a(18) =666a(19) =999a(20) =2488a(21) =2666a(22) =3366a(23) =3446a(24) =4444a(25) =6999a(26) =8888a(27) =26999a(28) =28888a(29) =33999