Number of partitions of n in which the sum of reciprocals of parts is less than 1.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =3a(7) =4a(8) =4a(9) =6a(10) =8a(11) =12a(12) =13a(13) =16a(14) =18a(15) =21a(16) =25a(17) =32a(18) =38a(19) =46a(20) =55a(21) =65a(22) =78a(23) =92a(24) =103a(25) =122a(26) =140a(27) =165a(28) =193a(29) =229