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A278174 as a simple table

na(n)
10
243
3737
417396
5396024
69120939
7209105063
84797179760
9110034231906
102523955236624
1157893739618179
121327951316712237
1330460184207856087
14698687420488831794
1516026301711146587408
16367606943763824641516

[0,43,737,17396,396024,9120939,209105063,
 4797179760,110034231906,2523955236624,
 57893739618179,1327951316712237,30460184207856087,
 698687420488831794,16026301711146587408,
 367606943763824641516]