Find the missing number in the given series. $3, 7, 16, 41, ?, 211$

The pattern is: multiply by 2, add 1; multiply by 2, add 2; multiply by 2, add 3; multiply by 2, add 4; multiply by 2, add 5. So: 3 × 2 + 1 = 7, 7 × 2 + 2 = 16, 16 × 2 + 3 = 35, 35 × 2 + 4 = 74, 74 × 2 + 5 = 153... Wait, let me recheck. Actually: 3 × 2 + 1 = 7, 7 × 2 + 2 = 16, 16 × 2 + 3 = 35 (not 41), 41 × 2 + 4 = 86... Let me try another pattern. Actually the pattern appears to be: multiply by 2 and add 1, then add consecutive squares. 3 + 4 = 7, 7 + 9 = 16, 16 + 25 = 41, 41 + 49 = 90, 90 + 121 = 211. The added numbers are squares of consecutive odd numbers: 2², 3², 5², 7², 11².