A181594 The number of combinatorially distinct tilings of a square by n rectangles, regarding rotations and reflections as distinct.

1, 2, 6, 25, 128, 758, 5014, 36194, 280433, 2303918, 19885534, 179028087, 1671644720, 16114138846, 159761516110, 1623972412726, 16880442523007, 179026930243822, 1933537655138482, 21231023519199575, 236674460790503286, 2675162663681345170, 30625903703241927542

Offset

1,2

Links

Table of n, a(n) for n=1..23.

Jim Conant and Tim Michaels, On the number of tilings of a square by rectangles, Ann. Comb. 18 (2014) 21-34.

Crossrefs

Sequence in context: A325576 A130619 A330021 * A030915 A030921 A132290

Adjacent sequences: A181591 A181592 A181593 * A181595 A181596 A181597

Keyword

nonn

Author

James Conant (jconant(AT)math.utk.edu), Nov 01 2010

Status

approved