Dominoes in Squares

The following pictures show n dominoes with short sides 1, 2, . . . n packed inside the smallest square (of side length s). All of these have been proved optimal.

1. 2. 3.
s = 2
Trivial. s = 4
Trivial. s = 6
Trivial.

4.			5.			6.
	s = 8 Trivial.			s = 11 Found by Erich Friedman in 1998.			s = 14 Found by Erich Friedman in 1998.

7.			8.			9.
	s = 17 Found by Erich Friedman in 1998.			s = 21 Found by Erich Friedman in 1998.			s = 24 Found by Erich Friedman in 1998.

10.			11.			12.
	s = 28 Found by Erich Friedman in 1998.			s = 32 Found by Erich Friedman in 1998.			s = 37 Found by Erich Friedman in 1998.

13.			14.			15.
	s = 41 Found by Erich Friedman in 1998.			s = 46 Found by Erich Friedman in January, 2004.			s = 50 Found by Erich Friedman in January, 2004.

16.			17.			18.
	s = 55 Found by Erich Friedman in January, 2004.			s = 60 Found by Erich Friedman in January, 2004.			s = 66 Found by Erich Friedman in January, 2004.

19.
	s = 71 Found by Erich Friedman in January, 2004.

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