T(n,k)=Number of length n+3 0..k arrays with no consecutive four elements summing to more than 2*k.

Terms

a(0) =11a(1) =50a(2) =19a(3) =150a(4) =124a(5) =33a(6) =355a(7) =486a(8) =311a(9) =57a(10) =721a(11) =1421a(12) =1597a(13) =775a(14) =97a(15) =1316a(16) =3437a(17) =5778a(18) =5211a(19) =1895a(20) =166a(21) =2220a(22) =7280a(23) =16660a(24) =23320a(25) =16649a(26) =4663a(27) =285a(28) =3525a(29) =13980