T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0.

A222345

T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0.

Terms

    a(0) =3a(1) =10a(2) =8a(3) =35a(4) =33a(5) =21a(6) =126a(7) =124a(8) =108a(9) =55a(10) =462a(11) =460a(12) =440a(13) =352a(14) =144a(15) =1716a(16) =1714a(17) =1690a(18) =1560a(19) =1145a(20) =377a(21) =6435a(22) =6433a(23) =6405a(24) =6225a(25) =5525a(26) =3721a(27) =987a(28) =24310a(29) =24308

External references