83505

Appears in sequences

• Primitive elements of A065607.at n=30A120692
• a(n) = (9*n^4+10*n^3-3*n^2-4*n)/12.at n=18A172045
• a(n) gives the odd leg of the second of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)^2. This is the larger of the two possible odd legs.at n=28A253804
• Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and exactly one more element moved upwards than downwards.at n=10A263760
• Number of length-4 0..n arrays with no adjacent pair x,x+1 repeated.at n=16A269657
• Number of branching factorizations of the least integer of each prime signature (A025487).at n=46A366884
• a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} n/gcd(x_1, x_2, x_3, n).at n=16A372952