Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling2(n+m,m), for n>=0 and 0<=k<=n.
A268439
Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling2(n+m,m), for n>=0 and 0<=k<=n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =4a(5) =3a(6) =0a(7) =15a(8) =60a(9) =15a(10) =0a(11) =56a(12) =700a(13) =840a(14) =105a(15) =0a(16) =210a(17) =6720a(18) =22050a(19) =12600a(20) =945a(21) =0a(22) =792a(23) =58905a(24) =421960a(25) =623700a(26) =207900a(27) =10395a(28) =0a(29) =3003
External references
- oeis: A268439