strong law of small numbers ? surely not!

[wouter meeussen]

the count of plane partitions of n that can be extended in exactly 3 ways to a plane partition of
n+1 by adding one element
equals
Anum=A007425 = 1,3,3,6,3,9,3,10,6,9,3,18,3,9,9,15 ..
or
Inverse Moebius transform applied twice to all 1's sequence.
or
tau_3(n)

***

the count of solid partitions of n that can be extended in exactly 4 ways to a solid partition of
n+1 by adding one element
equals
Anum=A007426
 1,4,4,10,4,16,4,20,10,16 ..
or
Inverse Moebius transform applied thrice to all 1's sequence
or
tau_4(n)

***

?? duh?

W.