410456

Appears in sequences

• Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,1,1,1 for x=0,1,2,3,4.at n=5A197427
• Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,1,1,1 for x=0,1,2,3,4.at n=3A197429
• T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,1,1,1 for x=0,1,2,3,4.at n=39A197431
• T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,1,1,1 for x=0,1,2,3,4.at n=41A197431
• E.g.f.: D(x,k) = 1 + k^2 * Integral S(x,k)*C(x,k)*D(x,k) dx, such that C(x,k)^2 - S(x,k)^2 = 1, and D(x,k)^2 - k^2*S(x,k)^2 = 1, as a triangle of coefficients read by rows.at n=19A322232
• E.g.f.: C(x,k) = cn( i * Integral C(x,k) dx, k), where C(x,k) = Sum_{n>=0} Sum_{j=0..n} T(n,j) * x^(2*n)*k^(2*j)/(2*n)!, as a triangle of coefficients T(n,j) read by rows.at n=16A325221