827904

Appears in sequences

• G.f.: B(x)*B(2!*x^2)*B(3!*x^3)*..., where B(x) is g.f. of A000142.at n=9A126787
• Number of (n+1)X4 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order.at n=3A205330
• Number of (n+1)X5 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order.at n=2A205331
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order.at n=17A205335
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order.at n=18A205335
• Triangle read by rows: T(n,k) is the number of non-crossing set partitions of {1..5n} into n sets of 5 with k of the sets being a contiguous set of elements.at n=30A334063
• a(n) = 2^(n-6)*n*(n^3 - 6*n^2 + 19*n - 14).at n=12A384243
• E.g.f. A(x) satisfies A(x) = 1/(1 - x*log(1-x*A(x)^2)^2).at n=8A392856