A361524 Number of ways of dividing an n X n square into integer-sided rectangles, up to rotations and reflections.

1, 1, 4, 54, 9235, 10538496, 66906507915, 2262572656817797, 406359897582963166777, 387240433077951047222490766, 1957233446631303872408683778546809, 52459774417987065589052845904624173777442, 7455958280198359250316552005822713102696893557376

Offset: 0

Author

Pontus von Brömssen, Mar 15 2023

Keywords

• nonn
• changed

Links

• Nathan Jellis, Program to calculate up to a(12)

Crossrefs

Main diagonal of A361523.

Cf. A182275 (rotations and reflections are considered distinct), A224239 (square pieces), A360630.

Programs

Python

# See Jellis link.

Formula

a(n) >= A182275(n)/8.

a(n) ~ A182275(n)/8.

Extensions

a(6)-a(12) from Nathan Jellis, Aug 25 2025