1172700

Appears in sequences

• Unsigned Stirling numbers of first kind s(n,3).at n=7A000399
• Largest unsigned Stirling number of the first kind: max_k(s(n+1,k)); i.e., largest coefficient of polynomial x*(x+1)*(x+2)*(x+3)*...*(x+n).at n=9A065048
• Triangle read by rows: T(n,k) = |s(n,n+1-k)|, where s(n,k) are the signed Stirling numbers of the first kind A008276 (1 <= k <= n; in other words, the unsigned Stirling numbers of the first kind in reverse order).at n=52A094638
• Alfred Moessner's factorial triangle.at n=38A125714
• Triangle T(n,k), 0 <= k <= n, read by rows, giving coefficients of the polynomial (x+1)(x+2)...(x+n), expanded in increasing powers of x. T(n,k) is also the unsigned Stirling number |s(n+1, k+1)|, denoting the number of permutations on n+1 elements that contain exactly k+1 cycles.at n=47A130534
• Triangle of unsigned Stirling numbers of the first kind (see A048994), read by rows, T(n,k) for 0 <= k <= n.at n=58A132393
• Triangle related to the asymptotic expansion of E(x,m=4,n).at n=28A163934
• Triangle related to the o.g.f.s. of the right hand columns of A163934 (E(x,m=4,n)).at n=28A163939
• Eighth diagonal a(n) = s(n,n-7) of the unsigned Stirling numbers of the first kind with n>7.at n=2A191685
• Triangle read by rows: T(n,k) = (n-1-k)*abs(s(n,n+1-k)), where s(n,k) are the signed Stirling numbers of the first kind and 1 <= k <= n.at n=52A199220
• T(n, k) = [x^k] Pochhammer(x, n-k) for n >= 0, 0 <= k <= floor(n/2). Irregular triangle read by rows.at n=52A331327
• Triangle of coefficient of the series reversion in t of the power series (exp(log(1+t*x)/x)-1)*exp(-t) as an e.g.f.at n=37A364708