T(n,k)=Number of third differences of arrays of length n+3 of numbers in 0..k.

Terms

a(0) =9a(1) =17a(2) =31a(3) =25a(4) =143a(5) =63a(6) =33a(7) =319a(8) =621a(9) =127a(10) =41a(11) =565a(12) =2511a(13) =2059a(14) =255a(15) =49a(16) =881a(17) =6419a(18) =13933a(19) =6305a(20) =511a(21) =57a(22) =1267a(23) =12947a(24) =53315a(25) =58911a(26) =19171a(27) =1023a(28) =65a(29) =1723