A333495 Number of ways of dividing a 2n X n rectangle into integer-sided rectangles.

1, 2, 148, 314662, 19415751782, 34223109012944482, 1709004742525016740261850, 2407826816243421894252785348151226, 95524923938130486476975763614521056527129262, 106619635380815059627115813538573777241948002538356771858, 3346744054257695722669927876858961813239867346217968957293126431564898

Offset: 0

Author

Alois P. Heinz, Mar 24 2020

Keywords

• nonn

Links

• David A. Klarner and Spyros S. Magliveras, The number of tilings of a block with blocks, European Journal of Combinatorics 9 (1988), 317-330.
• Joshua Smith and Helena Verrill, On dividing rectangles into rectangles

Crossrefs

Cf. A116694, A333476.

Formula

a(n) = A116694(2n,n) = A333476(2n,n).