56, the rest are all square numbers, a number you get when you multiply a number by itself.
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
but 56 isn't a square number.
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There are two 36's, so the odd one out is 36.
35: the other numbers are all squares of integers. 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 != 35. The last number in the sequence should be 36.
The difference between each one is an odd number 1 (add 3) 4 (add 5) 9 (add 7) 16 (add 9) 25(add 11) 36 etc etc
From the first term subtract 19 to get the second, and continue to subtract the next smaller odd number to proceed down the line:100 (-19) 81 (-17) 64 (-15) 49 (-13) 36 (-11) 25 (-9) 16
4,9,16,25,36,49,64,81,100,121