A303852 Number of pairs (lambda,mu) of partitions lambda of n and mu of ceiling(n/2) with mu <= lambda (by diagram containment).

1, 1, 2, 4, 8, 13, 23, 42, 70, 114, 178, 313, 479, 759, 1119, 1858, 2687, 4207, 5960, 9468, 13203, 20198, 27728, 42955, 58293, 87333, 117084, 176706, 234579, 346450, 455637, 673619, 878603, 1276936, 1652382, 2404288, 3089769, 4429895, 5654741, 8105634

Offset: 0

Author

Alois P. Heinz, May 01 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..200
• Eric Weisstein's World of Mathematics, Ferrers Diagram
• Wikipedia, Ferrers diagram

Crossrefs

Bisections give: A303861 (even part), A303863 (odd part).

Cf. A259478.

Formula

a(n) = A259478(n,ceiling(n/2)).