663696

Appears in sequences

• Generalized Stirling numbers, [n+2,3]_2: a(n) = n! * Sum_{k=0..n-1} (k+1)/(n-k).at n=8A001705
• A triangle of generalized Stirling numbers: sum of consecutive terms in the harmonic sequence multiplied by the product of their denominators.at n=46A067176
• Triangle of labeled rooted trees according to the number of increasing edges.at n=37A067948
• Triangle of labeled rooted trees according to the number of increasing edges.at n=43A067948
• Generalized Stirling numbers of the first kind.at n=9A081050
• Triangle read by rows: for 0 <= k < n, a(n, k) is the sum of the products of all subsets of {n-k, n-k+1, ..., n} with k members.at n=43A093905
• Array read by descending antidiagonals: A(n, k) = (n + 1)! * H(k, n + 1), where H(n, k) is a higher-order harmonic number, H(0, k) = 1/k and H(n, k) = Sum_{j=1..k} H(n-1, j), for 0 <= k <= n.at n=52A105954
• Coefficient triangle for polynomials used for e.g.f.s for unsigned Stirling1 diagonals.at n=37A112486
• Triangle read by rows: T(n,k) = (-1)^(n+k)*Sum_{j=1..k} s(n,j), where s(n,j) are the signed Stirling numbers of the first kind (n >= 2; 1 <= k <= n-1; s(n,j) = A008275(n,j)).at n=37A136124
• Unsigned 2-Stirling numbers of the first kind.at n=37A143491
• Triangle read by rows: coefficients of 1; 1(X+2); 1(X+2)(X+3); 1(X+2)(X+3)(X+4); ....at n=43A145324
• Triangle generated by the asymptotic expansions of the E(x,m=2,n).at n=37A165674
• Triangle read by rows. T(n, k) = (n - k + 1)! * H(k, n - k), where H are the hyperharmonic numbers. For 0 <= k <= n.at n=47A165675
• Triangle read by rows: coefficients of second-order hypergeometric-harmonic polynomials.at n=44A222061
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. -log(1 - x)/(1 - x)^k.at n=63A292717
• Triangle T(n, k) = [x^n] (n + k + x)!/(k + x)! for 0 <= k <= n, read by rows.at n=37A325137
• Triangle read by rows: T(n,k) = (n-k-1+H(k+1))*((k+1)!) for 0 <= k <= n where H(k+1) = Sum_{i=0..k} 1/(i+1) for k >= 0.at n=44A336746
• Triangle of generalized Stirling numbers.at n=28A376582
• Triangle read by rows: T(n,k) = numerators of "across the board" style tournament payouts.at n=37A388733