由公式C<sub>n</sub><sup>k</sup>+C<sub>n</sub><sup>k+1</sup>=C<sub>n+1</sub><sup>k+1</sup>,可得:C<sub>2</sub><sup>2</sup>+...由公式C<sub>n</sub><sup>k</sup>+C<sub>n</sub><sup>k+1</sup>=C<sub>n+1</sub><sup>k+1</sup>,可得:C<sub>2</sub><sup>2</sup>+C<sub>3</sub><sup>2</sup>+…+C<sub>n</sub><sup>2</sup>=C<sub>n+1</sub><sup>3</sup>,sum from k=2 to nC<sub>k</sub><sup>2</sup>=C<sub>n+1</sub><sup>3</sup>,展开更多
文摘由公式C<sub>n</sub><sup>k</sup>+C<sub>n</sub><sup>k+1</sup>=C<sub>n+1</sub><sup>k+1</sup>,可得:C<sub>2</sub><sup>2</sup>+C<sub>3</sub><sup>2</sup>+…+C<sub>n</sub><sup>2</sup>=C<sub>n+1</sub><sup>3</sup>,sum from k=2 to nC<sub>k</sub><sup>2</sup>=C<sub>n+1</sub><sup>3</sup>,
