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

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200

Eric Weisstein's World of Mathematics, Ferrers Diagram

Wikipedia, Ferrers diagram

Formula

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

Crossrefs

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

Cf. A259478.

Sequence in context: A258600 A227232 A164408 * A096573 A348574 A227910

Adjacent sequences: A303849 A303850 A303851 * A303853 A303854 A303855

Keyword

nonn

Author

Alois P. Heinz, May 01 2018

Status

approved