Number of strings of numbers x(i=1..7) in 0..n with sum i^3*x(i) equal to 343*n.

Terms

a(0) =1a(1) =5a(2) =15a(3) =47a(4) =135a(5) =333a(6) =739a(7) =1500a(8) =2816a(9) =4959a(10) =8345a(11) =13493a(12) =21012a(13) =31756a(14) =46768a(15) =67237a(16) =94706a(17) =130980a(18) =178144a(19) =238696a(20) =315453a(21) =411763a(22) =531412a(23) =678795a(24) =858729a(25) =1076793a(26) =1339208a(27) =1652778a(28) =2025386a(29) =2465506