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

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =5a(6) =1a(7) =4a(8) =12a(9) =13a(10) =1a(11) =5a(12) =22a(13) =51a(14) =35a(15) =1a(16) =6a(17) =35a(18) =130a(19) =226a(20) =96a(21) =1a(22) =7a(23) =51a(24) =265a(25) =803a(26) =1025a(27) =267a(28) =1a(29) =8