Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)*(-1)^(k-j)*2^(n-j)*Sum_{i=0..j} (C(n+j,i)*|S(n+j-i,j-i)|)), S = Stirling number of first kind.

A201636

Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)*(-1)^(k-j)*2^(n-j)*Sum_{i=0..j} (C(n+j,i)*|S(n+j-i,j-i)|)), S = Stirling number of first kind.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =4a(5) =3a(6) =0a(7) =24a(8) =40a(9) =15a(10) =0a(11) =192a(12) =520a(13) =420a(14) =105a(15) =0a(16) =1920a(17) =7392a(18) =9520a(19) =5040a(20) =945a(21) =0a(22) =23040a(23) =116928a(24) =211456a(25) =176400a(26) =69300a(27) =10395a(28) =0a(29) =322560

External references