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A199774 as a simple table

na(n)
10
23
35
432
5203
6333
72112
813395
921973
10139360
11883867
121449885
139195648
1458321827
1595670437
16606773408
173848356715
186312798957
1940037849280
20253933221363
21416549060725
222641891279072
2316755744253243
2427485925208893
25174324786569472
261105625187492675

[0,3,5,32,203,333,2112,13395,21973,139360,883867,
 1449885,9195648,58321827,95670437,606773408,
 3848356715,6312798957,40037849280,253933221363,
 416549060725,2641891279072,16755744253243,
 27485925208893,174324786569472,1105625187492675]