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A346978 as a simple table

na(n)
01
11
24
326
4234
52694
637812
7626352
811962164
9258787812
106255195168
11167072685240
124886611129320
13155335056242040
145332298685827760
15196590247328769120
167747254471910795920
17324986515253994589200
1814458392906960271354560
19679977065168639138610720

[1,1,4,26,234,2694,37812,626352,11962164,
 258787812,6255195168,167072685240,4886611129320,
 155335056242040,5332298685827760,
 196590247328769120,7747254471910795920,
 324986515253994589200,14458392906960271354560,
 679977065168639138610720]