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A343756 as a simple table

na(n)
01
11
22
34
49
520
645
7102
8232
9528
101203
112742
126252
1314258
1432519
1574173
16169189
17385929
18880337
192008141
204580803
2110449377
2223836364
2354373853
24124033933
25282937887
26645419092
271472287344
283358484832
297661154644
3017476122569
3139865383333
3290938296121

[1,1,2,4,9,20,45,102,232,528,1203,2742,6252,14258,
 32519,74173,169189,385929,880337,2008141,4580803,
 10449377,23836364,54373853,124033933,282937887,
 645419092,1472287344,3358484832,7661154644,
 17476122569,39865383333,90938296121]