A115727 Maximum rectangle of partitions in Mathematica order.

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

Offset

0,3

Links

Table of n, a(n) for n=0..96.

Eric Weisstein's World of Mathematics, Ferrers Diagram.

Example

Partition 34 in Mathematica order is [4,3]; its maximum rectangle is 2x3 = 6, so a(34)=6.

Crossrefs

Cf. A115726, A115724, A080577.

Sequence in context: A091316 A321862 A071825 * A115726 A086413 A069352

Adjacent sequences: A115724 A115725 A115726 * A115728 A115729 A115730

Keyword

nonn

Author

Franklin T. Adams-Watters, Mar 11 2006

Status

approved