42256

Appears in sequences

• Triangle T(n, k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w - 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=40A059473
• a(n) = 2^n*P_n(5), 2^n times the Legendre polynomial of order n at 5.at n=4A098270
• A scaled Legendre triangle.at n=50A110124
• a(n) = a(n-2) + a(n-3) + a(n-4) with a(0) = 0, a(1) = a(2) = 1, a(3) = 0.at n=31A277252
• Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero.at n=8A304929
• Number of series-reduced palindromic plane trees with n nodes.at n=29A319437
• Triangle read by rows: T(n,k) = number of collections of up to k+1 disjoint subsets of [n] covering [n], with [0]={}, 0<=k<=n.at n=52A381682
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 2^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.at n=25A384362