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Mathematics of bricklaying problem
2046 bricks

Layer 10: 2

Ninth floor: the sixth floor

Eighth floor: 14

half past seven

The sixth floor: 62

Fifth floor: 126

The fourth floor: 254

Third floor: 5 10

Second floor: 1022

Layer 1: 2046

Obviously, the floor of 10 has just used up "more than half of the upper floor", which means that there are two floors of 10; That is, there are two blocks left on the ninth floor. Because each floor is "more than half a floor", when building a ninth floor, two pieces plus one piece is half the number, that is, when building a ninth floor, there is always * * * (2+ 1)*3=6 pieces. Similarly, the total number of each layer is the number of bricks in the upper layer plus 1 and then multiplied by 2.