-4420

Appears in sequences

• Expansion of (1-4*x)^(5/2).at n=12A002422
• Expansion of (1-4*x)^(17/2).at n=3A020929
• Expansion of (1-4*x)^(17/2).at n=12A020929
• Alternating factorials: 0! - 1! + 2! - ... + (-1)^n n!at n=7A058006
• T(n, k) = [x^k] Sum_{j=0..n} j!*binomial(x, j), for 0 <= k <= n, triangle read by rows.at n=37A176663
• Triangle read by rows: T(n,k) = coefficient of x^(n-k) in Product_{m=0..n-1} (x+(-1)^m*m!), 0 <= k <= n.at n=37A260612
• Expansion of f(-x, -x^5)^2 / (f(x^2, x^10) * f(x^6, x^18)) in powers of x where f(, ) is Ramanujan's general theta function.at n=61A283023
• Square array read by ascending antidiagonals: T(n,k) = [x^(2*k)] ( (1 + x)^(n+2)/(1 - x)^(n-2) )^k for n, k >= 0.at n=34A364518