241128

Appears in sequences

• Generalized Stirling numbers, [n+4,4]_3.at n=6A001711
• Coefficient of x^7 in expansion of (1+x+x^2)^n.at n=14A005715
• n-th elementary symmetric function of 3,4,...,n+3.at n=5A024187
• T(2n,n-2), T given by A027907.at n=7A027910
• Generalized Stirling number triangle of first kind.at n=29A049458
• A triangle of generalized Stirling numbers: sum of consecutive terms in the harmonic sequence multiplied by the product of their denominators.at n=47A067176
• 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=42A093905
• 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=51A105954
• Unsigned 3-Stirling numbers of the first kind.at n=29A143492
• Triangle generated by the asymptotic expansions of the E(x,m=2,n).at n=38A165674
• 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=48A165675
• Seventh right hand column of triangle A165674.at n=2A165679
• Table of elementary symmetric function a_k(3,4,...,n+2) (no 1 and 2).at n=34A196845
• Triangle read by rows: coefficients of third-order hypergeometric-harmonic polynomials.at n=35A222063
• 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=62A292717
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)^2, where a(0) = 3, a(1) = 4, b(0) = 1, b(1) = 2, and (a(n)) and (b(n)) are increasing complementary sequences.at n=19A296256
• Triangle T(n, k) = [t^n] Gamma(n + k + m + t)/Gamma(k + m + t) for m = 2 and 0 <= k <= n, read by rows.at n=29A325139
• Triangle of generalized Stirling numbers.at n=29A376582