A221841 -id:A221841 - cp's OEIS frontend

A221840 Number of sets of n squares providing dissections of a square.

1, 0, 0, 1, 0, 1, 1, 2, 4, 7

Offset: 1

Geoffrey H. Morley, Jan 26 2013

It seems that a(11) = 16 and a(12) = 30. [Vladimir Letsko, Sep 17 2013]

			a(8) = 2 as there are two sets of 8 squares which tile a unit square, namely {1(0.75X0.75), 7(0.25X0.25)} and {1(0.6X0.6), 3(0.4X0.4), 4(0.2X0.2)}.

Mathematical Marathon, Problem 152 (in Russian)

Cf. A221841, A005670.

a(10) corrected by Geoffrey H. Morley, Aug 02 2013

A221842 Number of ways to dissect a square into n squares.

Original entry on oeis.org

1, 0, 0, 1, 0, 4, 8, 36, 105, 384, 1340, 4975, 17676, 69052, 270716, 1093218, 4455047, 18246018

Offset: 1

Geoffrey H. Morley, Jan 26 2013

			For n = 6 there are a(6) = 4 ways:
+-+-+-+   +-+-+-+   +-+---+   +---+-+
| | | |   | | | |   | |   |   |   | |
+-+-+-+   +-+-+-+   +-+   |   |   +-+
| |   |   |   | |   | |   |   |   | |
+-+   |   |   +-+   +-+-+-+   +-+-+-+
| |   |   |   | |   | | | |   | | | |
+-+---+   +---+-+   +-+-+-+   +-+-+-+

Ed Wynn, Exhaustive generation of Mrs Perkins's quilt square dissections for low orders, arXiv:1308.5420

Cf. A221841.

a(10) corrected (thanks to Ed Wynn) by Geoffrey H. Morley, Aug 02 2013

More terms from Wynn, 2013. - N. J. A. Sloane, Nov 29 2013

cp's OEIS Frontend

A221840 Number of sets of n squares providing dissections of a square.

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