-1950

Appears in sequences

• Expansion of Product_{k>=1} (1-x^k)^26.at n=3A010831
• Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=14A100492
• Irregular triangle read by rows: T(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that Sum_k T(n,k)*q^k gives the expectation of the number of connected components in a random graph on n labeled vertices where every edge is present with probability q.at n=48A125210
• Inverse of Riordan array (1/(1-x)^3, x/(1-x)^3).at n=41A127894
• Differentiation of A137286: Triangle of coefficients of differentiation recursive orthogonal Hermite polynomials given in Hochstadt's book : P(x, n) = x*P(x, n - 1) - n*P(x, n - 2).at n=29A136209
• a(n) = -(n - 4)*(n - 5)*(n - 12)/6.at n=24A167541
• Expansion of Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 + j*x^j).at n=29A306707