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

0,2

Links

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

Eric Weisstein's World of Mathematics, Ferrers Diagram

Wikipedia, Ferrers diagram

Formula

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

Crossrefs

Bisection (even part) of A303851 and of A303852.

Cf. A259478.

Sequence in context: A018042 A304304 A072842 * A138387 A374364 A354176

Adjacent sequences: A303858 A303859 A303860 * A303862 A303863 A303864

Keyword

nonn

Author

Alois P. Heinz, May 01 2018

Status

approved