396900

Appears in sequences

• Sum of first n cubes; or n-th triangular number squared.at n=35A000537
• E.g.f.: cosh(log(x+1)-arctanh(x)) (even powers only).at n=5A013302
• Squares of even triangular numbers.at n=16A014738
• Squares of even hexagonal numbers.at n=8A014772
• Perfect squares using only the curved digits 0, 3, 6, 8 and 9.at n=17A079655
• a(n) is the smallest number representable in exactly n ways as a sum of 2 powerful(1) numbers.at n=30A115354
• Refactorable numbers k such that the number of odd divisors r is odd, the number of even divisors s is even and both r and s are divisors of k.at n=10A120349
• Even refactorable numbers k such that the number r of odd divisors is odd, the number s of even divisors is even, both r and s are divisors of k and k is the first number for which the triple (r,s,t) occurs, where t is the number of divisors of k.at n=8A120359
• a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.at n=29A139033
• Triangle T(n, k) = (n-k)^2 * binomial(n-1, k-1)^2 with T(n, 0) = T(n, n) = 1, read by rows.at n=60A174126
• a(n) = (n+1)!^2/2^n.at n=6A184358
• Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.at n=33A207363
• Number of n X 4 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=19A208138
• Number of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=7A208145
• Areas of primitive Heronian triangles K which are perfect squares.at n=14A248108
• Number of (1+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=32A250813
• Perfect squares k such that each decimal digit of k is equal to the difference of at least two other digits of k.at n=9A255893
• Denominators of the Kirchhoff sum index for the n-hypercube graph.at n=10A290345
• Number of 4-cycles in the n-transposition graph.at n=6A300843
• Triangle read by rows: T(n, k) = (binomial(n,k)*binomial(n+k,k))^2 = A063007(n, k)^2, for n >= 0, k = 0..n.at n=19A303987