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A346174 as a simple table

na(n)
00
11
26
330
4120
5420
61344
74032
811520
931680
1084480
11219648
12559104
131397760
143440640
158355840
1620054016
1747628288
18112066560
19261488640
20605552640
211392771072
223183476736
237235174400
2416357785600
2536805017600
2682443239424
27183911841792
28408692981760
29904963031040

[0,1,6,30,120,420,1344,4032,11520,31680,84480,
 219648,559104,1397760,3440640,8355840,20054016,
 47628288,112066560,261488640,605552640,1392771072,
 3183476736,7235174400,16357785600,36805017600,
 82443239424,183911841792,408692981760,
 904963031040]