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

0,3

Links

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

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.

Example

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

Crossrefs

Cf. A115726, A115724, A036036.

Sequence in context: A321862 A071825 A115727 * A086413 A069352 A322832

Adjacent sequences: A115723 A115724 A115725 * A115727 A115728 A115729

Keyword

nonn

Author

Franklin T. Adams-Watters, Mar 11 2006

Status

approved