Egyptian fractions: number of partitions of 1 into reciprocals of positive integers <= n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =6a(5) =13a(6) =14a(7) =24a(8) =34a(9) =60a(10) =61a(11) =168a(12) =169a(13) =252a(14) =627a(15) =1011a(16) =1012a(17) =2430a(18) =2431a(19) =7212a(20) =15024a(21) =16553a(22) =16554a(23) =50219a(24) =60008a(25) =64284a(26) =92071a(27) =260178a(28) =260179a(29) =844846