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A111109 as a simple table

na(n)
00
11
22
35
414
540
6111
7301
8803
92118
105540
1114397
1237216
1395772
14245505
15627189
161597413
174057450
1810280678
1925990933
2065575122
21165138416
22415158963
231042067549
242611823431
256537384302
2616342461128
2740805714573
28101776575332
29253587643300
30631232103045

[0,1,2,5,14,40,111,301,803,2118,5540,14397,37216,
 95772,245505,627189,1597413,4057450,10280678,
 25990933,65575122,165138416,415158963,1042067549,
 2611823431,6537384302,16342461128,40805714573,
 101776575332,253587643300,631232103045]