Total sum of the hook lengths over all partitions of 2n-1 having exactly n parts.

Terms

a(0) =1a(1) =5a(2) =22a(3) =56a(4) =139a(5) =269a(6) =554a(7) =956a(8) =1724a(9) =2830a(10) =4686a(11) =7286a(12) =11539a(13) =17261a(14) =26076a(15) =38130a(16) =55753a(17) =79385a(18) =113350a(19) =158152a(20) =220883a(21) =303346a(22) =415752a(23) =562264a(24) =759601a(25) =1013728a(26) =1350404a(27) =1782342a(28) =2346390a(29) =3064045