T(n,k) = Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than k.

A204213

T(n,k) = Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than k.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =4a(6) =1a(7) =4a(8) =9a(9) =9a(10) =1a(11) =5a(12) =16a(13) =32a(14) =21a(15) =1a(16) =6a(17) =25a(18) =78a(19) =120a(20) =51a(21) =1a(22) =7a(23) =36a(24) =155a(25) =404a(26) =473a(27) =127a(28) =1a(29) =8

External references