9459450

Appears in sequences

• Exponential generating function: 2*(1+3*x)/(1-2*x)^(7/2).at n=6A000906
• Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).at n=11A013271
• T(n, k) = [x^k] (-1)^n*Sum_{k=0..n} E2(n, n-k)*(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.at n=29A111999
• Triangle S(n, k) by rows: coefficients of 2^((n-1)/2)*(x^(1/2)*d/dx)^n, where n = 1, 3, 5, ...at n=29A223523
• Triangle read by rows, giving coefficients in an expansion of absolute values of Stirling numbers of the first kind in terms of binomial coefficients.at n=34A259456
• Number T(n,k) of partitions of an n-set with distinct block sizes and maximal block size equal to k; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.at n=35A262078
• Triangle read by rows, T(n, k) = Sum_{m=0..k} (-1)^(m + k)*binomial(n + k, n + m) * |Stirling1(n + m, m)|, for n >= 0, 0 <= k <= n.at n=43A269940
• a(n) = lcm(A260443(n), A260443(1+n)).at n=47A284008