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A309537 as a simple table

na(n)
00
11
23
38
419
546
6106
7241
8541
91198
102629
115724
1212380
1326625
1456978
15121413
16257740
17545308
181150272
192419856
205078336
2110633921
2222222338
2346353669
2496525324
25200686620
26416645184
27863834256
281788756288
293699688128
307643727360
3115776156928
3232529718272

[0,1,3,8,19,46,106,241,541,1198,2629,5724,12380,
 26625,56978,121413,257740,545308,1150272,2419856,
 5078336,10633921,22222338,46353669,96525324,
 200686620,416645184,863834256,1788756288,
 3699688128,7643727360,15776156928,32529718272]