Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling1(n+m,m), for n>=0 and 0<=k<=n.
A268440
Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling1(n+m,m), for n>=0 and 0<=k<=n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =8a(5) =3a(6) =0a(7) =90a(8) =120a(9) =15a(10) =0a(11) =1344a(12) =3640a(13) =1680a(14) =105a(15) =0a(16) =25200a(17) =110880a(18) =107100a(19) =25200a(20) =945a(21) =0a(22) =570240a(23) =3617460a(24) =5815040a(25) =2910600a(26) =415800a(27) =10395a(28) =0a(29) =15135120
External references
- oeis: A268440