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A361269 as a simple table

na(n)
01
10
22
30
44
512
60
7144
8168
9200
100
1125696
1218768
1312384
148688
150
1618082560
178697280
183923040
191914560
20936992
210
2247025585664
2314670384000
244512045120
251622358720
26647087040
27242016192
280
29450955726792704
3087781550054912
3117679638000640
324496696041600
331408276410240
34482302375296
35145763745920

[1,0,2,0,4,12,0,144,168,200,0,25696,18768,12384,
 8688,0,18082560,8697280,3923040,1914560,936992,0,
 47025585664,14670384000,4512045120,1622358720,
 647087040,242016192,0,450955726792704,
 87781550054912,17679638000640,4496696041600,
 1408276410240,482302375296,145763745920]