A303862 Number of pairs (lambda,mu) of partitions lambda of 2n+1 and mu of n with mu <= lambda (by diagram containment).

1, 3, 12, 35, 105, 262, 690, 1590, 3756, 8221, 17994, 37363, 77767, 154747, 307400, 592377, 1134126, 2118344, 3936532, 7161970, 12955028, 23043927, 40717240, 70937194, 122845251, 210072976, 357119309, 600696846, 1004415874, 1663790776, 2740918749, 4477271509

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 (odd part) of A303851.

Cf. A259478.

Formula

a(n) = A259478(2n+1,n) = A303851(2n+1).