T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k*i and -k<p(i+1)-p(i)<=k.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =4a(6) =1a(7) =4a(8) =11a(9) =8a(10) =1a(11) =5a(12) =21a(13) =42a(14) =16a(15) =1a(16) =6a(17) =34a(18) =116a(19) =163a(20) =32a(21) =1a(22) =7a(23) =50a(24) =245a(25) =659a(26) =639a(27) =64a(28) =1a(29) =8