177859

Appears in sequences

• Number of walks of length 2n+8 in the path graph P_9 from one end to the other.at n=7A005024
• [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=21A024386
• Expansion of x^3/((1-3*x+x^2)*(1-5*x+5*x^2)).at n=11A094865
• Number of nX8 binary arrays without the pattern 0 1 diagonally or vertically.at n=6A188842
• Constant term of the reduction of the polynomial p(n,x)=(1/2)((x+2)^n+(x-2)^n) by x^2->x+1.at n=11A192353
• a(n) = n*(n+1)*(7*n-6)/2.at n=37A256718
• Number of walks in the first quadrant starting and ending at (0,0) consisting of 3n steps taken from {E=(1, 0), D=(-1, 1), S=(0, -1)}, no S step occurring before the final E step.at n=8A274969
• Triangle read by rows: T(n, k) = binomial(2*k + n - 1, k - 2)*(n^2 - 2*k + n)/(k*(k - 1)) for k >= 2, T(n, 0) = 1 and T(n, 1) = n - 1.at n=53A387700