Number of partitions of 2n in which every part is <n+1; also, the number of partitions of 2 into rational numbers a/b such that 0<a<=b<=n and b divides n.

A209816

Number of partitions of 2n in which every part is <n+1; 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) =1a(1) =3a(2) =7a(3) =15a(4) =30a(5) =58a(6) =105a(7) =186a(8) =318a(9) =530a(10) =863a(11) =1380a(12) =2164a(13) =3345a(14) =5096a(15) =7665a(16) =11395a(17) =16765a(18) =24418a(19) =35251a(20) =50460a(21) =71669a(22) =101050a(23) =141510a(24) =196888a(25) =272293a(26) =374423a(27) =512081a(28) =696760a(29) =943442

External references