40876

Appears in sequences

• Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=42A000604
• a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }.at n=37A022905
• a(n) = 2*(n^3 + n^2 + n - 1).at n=27A155120
• Eigentriangle of Catalan triangle A033184.at n=57A172380
• Triangle whose inverse has production matrix with general term (-1)^(n-k+1)*C(k+1, n-k+1).at n=46A172381
• Equals one maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 n X 2 array.at n=11A220971
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood.at n=39A272289