A115726 Maximum rectangle of partitions in Abramowitz and Stegun order.

0, 1, 2, 2, 3, 2, 3, 4, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 5, 6, 5, 4, 6, 4, 4, 6, 4, 4, 5, 6, 7, 6, 5, 6, 5, 4, 6, 6, 4, 4, 6, 5, 5, 6, 7, 8, 7, 6, 6, 8, 6, 5, 6, 6, 6, 5, 4, 6, 6, 8, 5, 5, 6, 6, 6, 7, 8, 9, 8, 7, 6, 8, 7, 6, 6, 8, 6, 6, 9, 6, 5, 6, 6, 6, 8, 5, 5, 6, 6, 8, 6, 6, 6, 7, 7, 8, 9

Offset: 0

Author

Franklin T. Adams-Watters, Mar 11 2006

Keywords

• nonn

Examples

			Partition 33 in A&S order is [4,3]; its maximum rectangle is 2x3 = 6, so a(33)=6.
		

Links

• M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
• Eric Weisstein's World of Mathematics, Ferrers Diagram.

Crossrefs

Cf. A115726, A115724, A036036.