T(n,k)=Number of length n+5 0..k arrays with no consecutive six elements summing to more than 3*k.

Terms

a(0) =42a(1) =435a(2) =74a(3) =2338a(4) =1113a(5) =132a(6) =8688a(7) =7862a(8) =2902a(9) =236a(10) =25494a(11) =36224a(12) =27024a(13) =7596a(14) =421a(15) =63490a(16) =126894a(17) =154647a(18) =93308a(19) =19834a(20) =747a(21) =140148a(22) =367358a(23) =647404a(24) =663395a(25) =321320a(26) =51440a(27) =1314a(28) =282051a(29) =924300