Those are the first four perfect squares. They will increase by consecutive odd numbers. +1, +3, +5, + 7 and so on.
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12 ****************************** 11, 16, 22 are the 3 numbers continuing the pattern.
consecutive square numbers
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
The next numbers in the series are 32 and 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
The numbers are 1 and 16 because 1+16 = 17 and 1 times 16 = 16