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A115724 Number of partitions with maximum rectangle n. 5
1, 1, 3, 5, 16, 16, 76, 53, 218, 303, 750, 412, 3680, 1361, 5015, 9206, 23162, 8290, 66166, 19936, 161656, 192181, 236007, 100730, 1338186, 819694, 1180478, 1924986, 5215844, 1246468, 17370367, 3098322, 24926724, 23473968, 24790503, 41886304, 227243488 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

Eric Weisstein's World of Mathematics, Ferrers Diagram.

FORMULA

a(n) = A115725(n) - A115725(n-1).

EXAMPLE

The 16 partitions with maximum rectangle 4 are [4], [2^2], [1^4], [4,1], [3,2], [2^2,1], [2,1^3], [4,2], [4,1^2], [3,2,1], [3,1^3], [2^2,1^2], [4,2,1], [4,1^3], [3,2,1^2] and [4,2,1^2].

CROSSREFS

Cf. A115725, A115723, A115726, A115727.

Sequence in context: A248795 A215444 A006593 * A039782 A080056 A019096

Adjacent sequences:  A115721 A115722 A115723 * A115725 A115726 A115727

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters, Mar 11 2006

STATUS

approved

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Last modified December 16 19:11 EST 2018. Contains 318188 sequences. (Running on oeis4.)