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A303987 as a simple table

na(n)
01
11
24
31
436
536
61
7144
8900
9400
101
11400
128100
1319600
144900
151
16900
1744100
18313600
19396900
2063504
211
221764
23176400
242822400
259922500
267683984
27853776
281
293136
30571536
3117640000
32133402500
33276623424
34144288144
3511778624
361
375184
381587600
3985377600
401200622500
415194373184
427070119056
432650190400
44165636900

[1,1,4,1,36,36,1,144,900,400,1,400,8100,19600,
 4900,1,900,44100,313600,396900,63504,1,1764,
 176400,2822400,9922500,7683984,853776,1,3136,
 571536,17640000,133402500,276623424,144288144,
 11778624,1,5184,1587600,85377600,1200622500,
 5194373184,7070119056,2650190400,165636900]