Number of partitions of 2n in which every part is <n; also, the number of partitions of 2 into rational numbers a/b such that 0<a<b<=n and b divides n.

A209815

Number of partitions of 2n in which every part is <n; also, the number of partitions of 2 into rational numbers a/b such that 0<a<b<=n and b divides n.

Terms

    a(0) =0a(1) =1a(2) =4a(3) =10a(4) =23a(5) =47a(6) =90a(7) =164a(8) =288a(9) =488a(10) =807a(11) =1303a(12) =2063a(13) =3210a(14) =4920a(15) =7434a(16) =11098a(17) =16380a(18) =23928a(19) =34624a(20) =49668a(21) =70667a(22) =99795a(23) =139935a(24) =194930a(25) =269857a(26) =371413a(27) =508363a(28) =692195a(29) =937838

External references