counting 4-d Young tableaux

[Wouter Meeussen]

hi all,

the solid Young tableaux are counted in A207542 : "Number of solid
standard Young tableaux with n cells."
Can anyone confirm my counting of 4-d Young tableaux?

1, 4, 16, 76, 412, 2560, 17632, 133528, 1090696, 9518104, 88003840,
857713528,8777971552,94079648512,1053566896336,12304272125728

ps.
This is a side effect of counting the 4D partitions of m fitting in
(4D-empty YT) of all solid partitions of n,
as  [x^m] F( x, n )/ prod(k=1 .. n; 1-x^k ) with F( x, n) for n=1 .. 7
as coefficient lists:

{1}
{4}
{10,0,6}
{26,0,26,20,0,4}
{59,0,81,101,69,27,59,15,0,1}
{140,0,228,342,348,294,320,374,284,82,84,60,4}
{307,0,577,997,1219,1341,1704,1909,2505,1862,1557,1125,1099,781,400,79,140,30}
...

Wouter.