95564

Appears in sequences

• Number of (n+1)X5 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=1A205605
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=11A205609
• Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=3A205610
• G.f. satisfies: A(x) = Sum_{n>=0} x^n * Sum_{k=0..n} x^k * {[x^k] A(x)^(3*n)}.at n=10A249936
• E.g.f.: Product_{k>=1} (1 + x^k)^cos(x).at n=8A347893