A303851 Number of pairs (lambda,mu) of partitions lambda of n and mu of floor(n/2) with mu <= lambda (by diagram containment).

1, 1, 2, 3, 8, 12, 23, 35, 70, 105, 178, 262, 479, 690, 1119, 1590, 2687, 3756, 5960, 8221, 13203, 17994, 27728, 37363, 58293, 77767, 117084, 154747, 234579, 307400, 455637, 592377, 878603, 1134126, 1652382, 2118344, 3089769, 3936532, 5654741, 7161970

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), A303862 (odd part).

Cf. A259478.

Formula

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