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A374848 as a simple table

na(n)
00
11
22
316
4162
53600
6147456
712320100
82058386904
9701841817600
10488286500625000
11696425232679321600
122038348954317776486400
1312259459134020160144810000
14151596002479762016373851690400
153855806813438155578522841251840000

[0,1,2,16,162,3600,147456,12320100,2058386904,
 701841817600,488286500625000,696425232679321600,
 2038348954317776486400,12259459134020160144810000,
 151596002479762016373851690400,
 3855806813438155578522841251840000]