Triangle read by rows, T(n,m) = Sum_{k=1..m} k*k!*(-1)^(m+k)*Stirling2(m,k)* C(2*n+k-2*m-1,n-m)/(n+k-m), for n >= 0 and 0 <= m <= n.
A298753
Triangle read by rows, T(n,m) = Sum_{k=1..m} k*k!*(-1)^(m+k)*Stirling2(m,k)* C(2*n+k-2*m-1,n-m)/(n+k-m), for n >= 0 and 0 <= m <= n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =2a(8) =3a(9) =1a(10) =0a(11) =5a(12) =8a(13) =7a(14) =1a(15) =0a(16) =14a(17) =23a(18) =26a(19) =15a(20) =1a(21) =0a(22) =42a(23) =70a(24) =89a(25) =80a(26) =31a(27) =1a(28) =0a(29) =132
External references
- oeis: A298753