Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =11a(5) =27a(6) =44a(7) =93a(8) =149a(9) =271a(10) =432a(11) =744a(12) =1109a(13) =1849a(14) =2764a(15) =4287a(16) =6328a(17) =9673a(18) =13853a(19) =20717a(20) =29343a(21) =42609a(22) =60100a(23) =85893a(24) =118475a(25) =167453a(26) =230080a(27) =318654a(28) =433763a(29) =595921