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A097754 Table read by antidiagonals of least integer "mod 4 prime signatures" k ordered by number of primitive Pythagorean triples with hypotenuse = k.

Table of values

n a(n)
1 1
2 2
3 5
4 3
5 25
6 65
7 4
8 125
9 325
10 1105
11 6
12 625
13 1625
14 5525
15 32045
16 8
17 3125
18 4225
19 27625
20 160225
21 1185665
22 9
23 15625
24 8125
25 71825
26 801125
27 5928325
28 48612265
29 10
30 78125
31 21125
32 138125
33 2082925
34 29641625
35 243061325
36 2576450045
37 12
38 390625
39 40625

List of values

[1, 2, 5, 3, 25, 65, 4, 125, 325, 1105, 6, 625, 1625, 5525, 32045, 8, 3125, 4225, 27625, 160225, 1185665, 9, 15625, 8125, 71825, 801125, 5928325, 48612265, 10, 78125, 21125, 138125, 2082925, 29641625, 243061325, 2576450045, 12, 390625, 40625]