247555

Appears in sequences

• Triangle read by rows, T(n, k) = Sum_{j=0..n} C(n-j, n-k)*E2(n, j), where E2 are the second-order Eulerian numbers A201637, for n >= 0 and 0 <= k <= n.at n=32A112493
• Fifth column of triangle A112493 used for e.g.f.s of Stirling2 diagonals.at n=3A112497
• Triangle read by rows: T(n,k) is the number of partitions of an n-set having k blocks of size > 1 (0<=k<=floor(n/2)).at n=40A124324
• a(n) = n*(6*n^2 - 8*n + 3).at n=35A272378
• a(n) = Sum_{k=0..floor(2*n/5)} (k+1) * binomial(k,2*n-5*k).at n=45A392268
• a(n) = Sum_{k=0..floor(3*n/5)} (k+1) * binomial(k,3*n-5*k).at n=30A392311