A303851 - OEIS

%I #13 Sep 01 2019 02:38:48

%S 1,1,2,3,8,12,23,35,70,105,178,262,479,690,1119,1590,2687,3756,5960,

%T 8221,13203,17994,27728,37363,58293,77767,117084,154747,234579,307400,

%U 455637,592377,878603,1134126,1652382,2118344,3089769,3936532,5654741,7161970

%N Number of pairs (lambda,mu) of partitions lambda of n and mu of floor(n/2) with mu <= lambda (by diagram containment).

%H Alois P. Heinz, <a href="/A303851/b303851.txt">Table of n, a(n) for n = 0..200</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FerrersDiagram.html">Ferrers Diagram</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Ferrers_diagram">Ferrers diagram</a>

%F a(n) = A259478(n,floor(n/2)).

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

%Y Cf. A259478.

%K nonn

%O 0,3

%A _Alois P. Heinz_, May 01 2018