Triangle read by rows. T(n, k) = Bell(k)*Sum_{j=0..k}(-1)^(k+j)*binomial(n, n-k+j)*Stirling2(n-k+j, j) for n >= 0 and 0 <= k <= floor(n/2).
A352607
Triangle read by rows. T(n, k) = Bell(k)*Sum_{j=0..k}(-1)^(k+j)*binomial(n, n-k+j)*Stirling2(n-k+j, j) for n >= 0 and 0 <= k <= floor(n/2).
Terms
- a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =1a(6) =0a(7) =1a(8) =6a(9) =0a(10) =1a(11) =20a(12) =0a(13) =1a(14) =50a(15) =75a(16) =0a(17) =1a(18) =112a(19) =525a(20) =0a(21) =1a(22) =238a(23) =2450a(24) =1575a(25) =0a(26) =1a(27) =492a(28) =9590a(29) =18900
External references
- oeis: A352607