1012320

Appears in sequences

• Odd triangle !n. This table read by rows gives the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+1, where k=[2*n+3+(-1)^n]/4 and T(i,k) satisfies !n = Sum_{i=1..k+1} T(i,k) * n^(i-1) / (2*k-2)!.at n=9A102412
• G.f.: x^2 * f''(x), where f(x) = Product_{k>=1} (1 + x^k).at n=37A278407