Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).
A067001
Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).
Terms
- a(0) =1a(1) =4a(2) =6a(3) =24a(4) =60a(5) =42a(6) =160a(7) =560a(8) =688a(9) =308a(10) =1120a(11) =5040a(12) =8760a(13) =7080a(14) =2310a(15) =8064a(16) =44352a(17) =99456a(18) =114576a(19) =68712a(20) =17556a(21) =59136a(22) =384384a(23) =1055040a(24) =1572480a(25) =1351840a(26) =642824a(27) =134596a(28) =439296a(29) =3294720
External references
- oeis: A067001