49925

Appears in sequences

• Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=5A207023
• Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=6A207029
• G.f. A(x) satisfies: A(A(x)) = x+x^2 + x*A(A(A(A(x)))).at n=8A213009
• a(n) = (n + 1)*(20*n^2 + 19*n + 6)/6.at n=24A220084
• a(n) = 10*a(n-3) - a(n-6) + 4 for n>5, a(0)=2, a(1)=3, a(2)=5, a(3)=12, a(4)=29, a(5)=51.at n=14A233231
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 49", based on the 5-celled von Neumann neighborhood.at n=42A270016
• G.f.: Sum_{n>=0} (n+1)*(n+2)/2 * x^n * (1 + x^n)^n.at n=48A326003