Triangle related to Bell numbers; T(n,k) read by rows, n>=0, 0<=k<=n: T(n,k) = k*T(n-1,k) + Sum(0<=j, T(n-1,k-1+j)); T(0,0)=1, T(0,k)=0 if k>0.

A086211

Triangle related to Bell numbers; T(n,k) read by rows, n>=0, 0<=k<=n: T(n,k) = k*T(n-1,k) + Sum(0<=j, T(n-1,k-1+j)); T(0,0)=1, T(0,k)=0 if k>0.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =1a(6) =6a(7) =9a(8) =6a(9) =1a(10) =22a(11) =31a(12) =28a(13) =10a(14) =1a(15) =92a(16) =123a(17) =126a(18) =69a(19) =15a(20) =1a(21) =426a(22) =549a(23) =586a(24) =418a(25) =145a(26) =21a(27) =1a(28) =2146a(29) =2695

External references