Sum of successive nonnegative integers in a row of length p(n) where p counts integer partitions.

Terms

a(0) =0a(1) =3a(2) =12a(3) =40a(4) =98a(5) =253a(6) =540a(7) =1199a(8) =2415a(9) =4893a(10) =9268a(11) =17864a(12) =32421a(13) =59265a(14) =104632a(15) =184338a(16) =315414a(17) =540155a(18) =901845a(19) =1504173a(20) =2461932a(21) =4013511a(22) =6443170a(23) =10314675a(24) =16281749a(25) =25608450a(26) =39838855a(27) =61716941a(28) =94682665a(29) =144726102