1587222domain: NAppears in sequencesa(n) = Sum_{j=0..n} (n+j)*binomial(n+j,j).at n=9A002737Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)^n)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k).at n=64A331432