A303863 Number of pairs (lambda,mu) of partitions lambda of 2n+1 and mu of n+1 with mu <= lambda (by diagram containment).

1, 4, 13, 42, 114, 313, 759, 1858, 4207, 9468, 20198, 42955, 87333, 176706, 346450, 673619, 1276936, 2404288, 4429895, 8105634, 14576610, 26017631, 45767924, 79970030, 137934105, 236375455, 400667547, 674818625, 1125626097, 1866565406, 3068368925, 5015847315

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+1,n+1) = A303852(2n+1).

Crossrefs

Bisection (odd part) of A303852.

Cf. A259478.

Sequence in context: A121654 A186202 A036366 * A255836 A109454 A357063

Adjacent sequences: A303860 A303861 A303862 * A303864 A303865 A303866

Keyword

nonn

Author

Alois P. Heinz, May 01 2018

Status

approved