A303861 Number of pairs (lambda,mu) of partitions lambda of 2n and mu of n with mu <= lambda (by diagram containment).

1, 2, 8, 23, 70, 178, 479, 1119, 2687, 5960, 13203, 27728, 58293, 117084, 234579, 455637, 878603, 1652382, 3089769, 5654741, 10284636, 18389288, 32649594, 57145095, 99386432, 170658713, 291240275, 491704106, 825049784, 1371281674, 2266239384, 3713251732

Offset: 0

Author

Alois P. Heinz, May 01 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..100
• Eric Weisstein's World of Mathematics, Ferrers Diagram
• Wikipedia, Ferrers diagram

Crossrefs

Bisection (even part) of A303851 and of A303852.

Cf. A259478.

Formula

a(n) = A259478(2n,n) = A303851(2n) = A303852(2n).