A319601 - OEIS

%I #10 Feb 16 2025 08:33:56

%S 1,1,7,46,427,4266,56424,772888,12882984,226946552,4546150566,

%T 95857685949,2267911223257,55671787777419,1496799152925925,

%U 42138629446101195,1273072014409479719,40078261700215782164,1346081462070844724125,46899893904515009262290

%N Number of plane partitions of n into parts of sorts {1, 2, ... }.

%C All sorts up to the highest have to be present.

%H Alois P. Heinz, <a href="/A319601/b319601.txt">Table of n, a(n) for n = 0..50</a>

%H Eric Weisstein's World of Mathematics, <a href="https://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} A319600(n,k).

%Y Row sums of A319600.

%Y Cf. A000219.

%K nonn,changed

%O 0,3

%A _Alois P. Heinz_, Sep 24 2018