A350195 a(n) is the smallest positive integer which can be represented as the sum of distinct odd squares in exactly n ways, or 0 if no such integer exists.

1, 130, 251, 299, 525, 420, 588, 645, 790, 660, 741, 900, 909, 924, 885, 1006, 1054, 1005, 1173, 1125, 1101, 1045, 1174, 1221, 1261, 1245, 1285, 1365, 1294, 1342, 1270, 1366, 1438, 1414, 1390, 1550, 1485, 1621, 1710, 1574, 1486, 1725, 1631, 1686, 1534, 1510, 1655, 1751, 1702, 1845