Triangle read by rows: T(n,k) = Sum_{j=k..n} binomial(n,j)*Stirling_2(j,k)*Bell(n-j), where Bell(n) = A000110(n), for n >= 1, 0 <= k <= n-1.
A244489
Triangle read by rows: T(n,k) = Sum_{j=k..n} binomial(n,j)*Stirling_2(j,k)*Bell(n-j), where Bell(n) = A000110(n), for n >= 1, 0 <= k <= n-1.
Terms
- a(0) =1a(1) =2a(2) =3a(3) =5a(4) =10a(5) =6a(6) =15a(7) =37a(8) =31a(9) =10a(10) =52a(11) =151a(12) =160a(13) =75a(14) =15a(15) =203a(16) =674a(17) =856a(18) =520a(19) =155a(20) =21a(21) =877a(22) =3263a(23) =4802a(24) =3556a(25) =1400a(26) =287a(27) =28a(28) =4140a(29) =17007
External references
- oeis: A244489