A361523 -id:A361523 - cp's OEIS frontend

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

Pontus von Brömssen, Mar 15 2023

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

Main diagonal of A361523.

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

Python
```
# See Jellis link.
```

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

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

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

A361525 Number of ways of dividing an n X 3 rectangle into integer-sided rectangles, up to rotations and reflections.

Original entry on oeis.org

1, 3, 17, 54, 892, 8159, 80021, 791821, 7906439, 79069308

Offset: 0

Pontus von Brömssen, Mar 15 2023

Third column of A361523.

Cf. A208215 (rotations and reflections are considered distinct), A359019 (square pieces), A360632.

a(n) >= A208215(n)/4 for n != 3.

a(n) ~ A208215(n)/4.

A361526 Number of ways of dividing an n X 4 rectangle into integer-sided rectangles, up to rotations and reflections.

Original entry on oeis.org

1, 6, 61, 892, 9235, 406653, 9252097, 211703640

Offset: 0

Pontus von Brömssen, Mar 15 2023

Fourth column of A361523.

Cf. A220297 (rotations and reflections are considered distinct), A359020 (square pieces).

a(n) >= A220297(n)/4 for n != 4.

a(n) ~ A220297(n)/4.

cp's OEIS Frontend

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

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A361525 Number of ways of dividing an n X 3 rectangle into integer-sided rectangles, up to rotations and reflections.

Views

Author

Keywords

Crossrefs

Formula

A361526 Number of ways of dividing an n X 4 rectangle into integer-sided rectangles, up to rotations and reflections.

Views

Author

Keywords

Crossrefs

Formula