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A154225 as a simple table

na(n)
00
11
21
31
45
54
614
736
830
9576
1055
1114400
1291
13518400
14140
1525401600
16204
171625702400
18285
19131681894400
20385
2113168189440000
22506
231593350922240000
24650
25229442532802560000
26819
2738775788043632640000
281015

[0,1,1,1,5,4,14,36,30,576,55,14400,91,518400,140,
 25401600,204,1625702400,285,131681894400,385,
 13168189440000,506,1593350922240000,650,
 229442532802560000,819,38775788043632640000,1015]