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

0,3

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,floor(n/2)).

Crossrefs

Bisections give: A303861 (even part), A303862 (odd part).

Cf. A259478.

Sequence in context: A257999 A350440 A115449 * A218542 A194452 A242516

Adjacent sequences: A303848 A303849 A303850 * A303852 A303853 A303854

Keyword

nonn

Author

Alois P. Heinz, May 01 2018

Status

approved