A303863 - OEIS

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

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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.