Number of strings of numbers x(i=1..n) in 0..2 with sum i^2*x(i)^3 equal to n^2*8.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =2a(6) =3a(7) =8a(8) =12a(9) =21a(10) =47a(11) =117a(12) =316a(13) =707a(14) =1806a(15) =4044a(16) =9736a(17) =21215a(18) =47912a(19) =104631a(20) =225418a(21) =486719a(22) =1024621a(23) =2189311a(24) =4554744a(25) =9632597a(26) =19938907a(27) =41704600a(28) =86022324a(29) =177951143