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A343952 as a simple table

na(n)
00
12
21
32
44
510
624
766
8176
9498
101416
114122
1212068
1335930
14107632
15325346
16989600
173029914
189323248
1928831066
2089525028
21279074634
22872958488
232739387258
248621086800
2527203628682
2686050008056
27272807862746
28866704248868
292758862542482
308797833793728

[0,2,1,2,4,10,24,66,176,498,1416,4122,12068,35930,
 107632,325346,989600,3029914,9323248,28831066,
 89525028,279074634,872958488,2739387258,
 8621086800,27203628682,86050008056,272807862746,
 866704248868,2758862542482,8797833793728]