A355880 a(n) is a maximum of t*u*v such that 2*t*u + 2*t*v + 2*u*v <= n, where t,u,v are positive integers.

0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 16, 16, 18, 18, 18, 18, 18, 18, 20, 20, 20, 20, 24, 24, 27, 27, 27, 27, 27, 27, 27, 27, 30, 30, 32, 32, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 40

Offset: 1

Author

Gleb Ivanov, Jul 20 2022

Keywords

• nonn

Comments

The largest volume of a rectangular cuboid with a surface area less than or equal to n.

Crossrefs

Cf. A008642.

Programs

Python

for k in range(1, 200):
    max_v = 0
    for a in range(1, k):
        for b in range(1, a+1):
            for c in range(1, b+1):
                if 2*a*b + 2*a*c + 2*b*c <= k and a*b*c > max_v:
                    max_v = a*b*c
    print(max_v, end = ', ')