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A319601 Number of plane partitions of n into parts of sorts {1, 2, ... }. 2
1, 1, 7, 46, 427, 4266, 56424, 772888, 12882984, 226946552, 4546150566, 95857685949, 2267911223257, 55671787777419, 1496799152925925, 42138629446101195, 1273072014409479719, 40078261700215782164, 1346081462070844724125, 46899893904515009262290 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

All sorts up to the highest have to be present.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..50

Eric Weisstein's World of Mathematics, Plane partition

Wikipedia, Plane partition

FORMULA

a(n) = Sum_{k=0..n} A319600(n,k).

CROSSREFS

Row sums of A319600.

Cf. A000219.

Sequence in context: A332852 A178962 A203267 * A197754 A000823 A036944

Adjacent sequences:  A319598 A319599 A319600 * A319602 A319603 A319604

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 24 2018

STATUS

approved

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Last modified September 23 14:29 EDT 2021. Contains 347618 sequences. (Running on oeis4.)