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Number of plane partitions of n into parts of sorts {1, 2, ... } which are introduced in ascending order.
3

%I #8 Sep 28 2018 05:35:29

%S 1,1,5,20,99,483,2855,16759,112794,777862,5864191,45388575,381557427,

%T 3265488790,29815712658,279926300139,2762328453142,27952237049003,

%U 296275051753578,3212312177119572,36258222471852860,419025393587012853,5010022284030897550

%N Number of plane partitions of n into parts of sorts {1, 2, ... } which are introduced in ascending order.

%H Alois P. Heinz, <a href="/A319731/b319731.txt">Table of n, a(n) for n = 0..50</a>

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Plane_partition">Plane partition</a>

%F a(n) = Sum_{k=0..n} A319730(n,k).

%Y Row sums of A319730.

%Y Cf. A258466.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 26 2018