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A074409 as a simple table

na(n)
10
20
31
44
516
653
7160
8512
91706
106144
1123133
1287380
13327680
141217097
154508328
1616777216
1762914560
18237677216
19902444517
203435973836
2113102206738
2250026607709
23191312691200
24733007751680
252814062572336
2610823317585920
2741694907460224
28160842843834660

[0,0,1,4,16,53,160,512,1706,6144,23133,87380,
 327680,1217097,4508328,16777216,62914560,
 237677216,902444517,3435973836,13102206738,
 50026607709,191312691200,733007751680,
 2814062572336,10823317585920,41694907460224,
 160842843834660]