A387605 a(n) is the number of 5 element sets of distinct integer sided strict rectangles that fill an n X n square.

0, 0, 0, 0, 2, 19, 90, 256, 601, 1164, 2121, 3391, 5457, 7907, 11688, 15833, 22074, 28664, 38213, 47905, 61912, 75617, 95081, 113872, 140133, 164978, 199617, 231632, 276025, 316893, 372653, 423340, 492794, 554890, 639466, 715007, 816888, 907137, 1009111, 1146164, 1279611, 1405510, 1573614, 1719829, 1915899

Offset

1,5

Comments

A strict rectangle is a rectangle that is not a square.

Links

Table of n, a(n) for n=1..45.

Example

a(5) = 2 sets of five integer sided rectangles are:
  {(1 X 2), (1 X 3), (1 X 4), (2 X 3), (2 X 5)},
  {(1 X 2), (1 X 4), (1 X 5), (2 X 3), (2 X 4)}.

Crossrefs

Column k = 5 of A388143.

Cf. A384724, A387241.

Sequence in context: A054570 A135436 A387241 * A056005 A034572 A041393

Adjacent sequences: A387602 A387603 A387604 * A387606 A387607 A387608

Keyword

nonn

Author

Janaka Rodrigo, Sep 02 2025

Status

approved