A303851 - OEIS

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

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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.