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The equation for this can be represented as:
n/1261 = m2, where n is our target number and m is an integer
Since there are an infinite number of integers to plug into m, there are an infinite number of perfect squares, which means there are an infinite number of solutions to n.
n = m2 * 1261
The first few solutions could be:
n = 1261, m = 1; (1261)/1261 = 12 = 1
n = 5044, m = 2; (5044)/1261 = 22 = 4
n = 11349, m = 3; (11349)/1261 = 32 = 9
n = 20176, m = 4; (20176)/1261 = 42 = 16
n = 31525, m = 5; (31525)/1261 = 52 = 25
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