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A181294 as a simple table

na(n)
00
12
210
346
4198
5816
63264
712776
849192
9186976
10703328
112623072
129712864
1335746816
14130873088
15476961920
161731331200
176262393344
1822580421120
1981188953600
20291176175104
211041867493376
223720118018048
2313257657264128

[0,2,10,46,198,816,3264,12776,49192,186976,703328,
 2623072,9712864,35746816,130873088,476961920,
 1731331200,6262393344,22580421120,81188953600,
 291176175104,1041867493376,3720118018048,
 13257657264128]