Adding terms to an OEIS sequence: part 2

I wish to add the following terms to A045636, a sequence in the OEIS.

1322, 1370, 1373, 1378, 1394, 1418, 1490, 1538, 1658, 1682,
1685, 1690, 1706, 1730, 1802, 1850, 1853, 1858, 1874, 1898,
1922, 1970, 2018, 2042, 2138, 2210, 2213, 2218, 2234, 2258,
2330, 2378, 2498, 2522, 2570, 2642, 2690, 2738, 2810, 2813,
2818, 2834, 2858, 2930, 2978, 3050, 3098, 3170, 3218, 3338,
3362, 3485

Examples: 1538 = 13^2 + 37^2. 2738 = 23^2 + 47^2 = 37^2 + 37^2. 2978 = 13^2 + 53^2….

Computation was performed by using Ruby and Java. And I welcome further addition.

PS

Inspired by this posting.

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