-5005
domain: Z
Appears in sequences
- Matrix square of Stirling-1 triangle A008275.at n=24A039814
- Triangle of coefficients in polynomials for partial sums of powers, scaled to produce integers: Sum_{i=1..m} i^(n-1) = Sum_{k=1..n} T(n,k)*m^k/A064538(n-1).at n=86A079618
- T(n,k) are coefficients used for power series inversion (sometimes called reversion), n >= 0, k = 1..A000041(n), read by rows.at n=65A111785
- Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 0 <= k <= n), read by rows.at n=48A144633
- Triangle of 3-restricted Stirling numbers of the first kind (T(n,k), 1 <= k <= n), read by rows.at n=38A144634
- Column 3 of triangle in A144633.at n=9A144638
- Triangle, read by rows, each row n being defined by g.f. Product_{k=1..n} (k + x - k*x^2), for n >= 0.at n=42A322225
- a(n) = [x^n] Product_{k=1..n} (k + x - k*x^2), for n >= 0.at n=6A322228
- T(n, k) = [x^k] Sum_{k=0..n} Stirling1(n, k)*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.at n=32A325872