Energy term

Partitions of $$N-2=7-2=5$$

The Huby-Tong number of perturbation terms

$$-\Delta E_5\langle V{P}^{2}V\rangle$$

5

14

$$\Delta E_1\Delta E_4\langle V{P}^{3}V\rangle$$

1 4

5

$$\Delta E_4\Delta E_1\langle V{P}^{3}V\rangle$$

4 1

5

$$\Delta E_3\Delta E_2\langle V{P}^{3}V\rangle$$

3 2

2

$$\Delta E_2\Delta E_3\langle V{P}^{3}V\rangle$$

2 3

2

$$-\Delta E_1{\left(\Delta E_2\right)}^2\langle V{P}^{4}V\rangle$$

1 2 2

1

$$-\Delta E_2\Delta E_1\Delta E_2\langle V{P}^{4}V\rangle$$

2 1 2

1

$$-{\left(\Delta E_2\right)}^2\Delta E_1\langle V{P}^{4}V\rangle$$

2 2 1

1

$$-\Delta E_3{\left(\Delta E_1\right)}^2\langle V{P}^{4}V\rangle$$

3 1 1

2

$$-\Delta E_1\Delta E_3\Delta E_1\langle V{P}^{4}V\rangle$$

1 3 1

2

$$-{\left(\Delta E_1\right)}^2\Delta E_3\langle V{P}^{4}V\rangle$$

1 1 3

2

$${\left(\Delta E_1\right)}^3\Delta E_2\langle V{P}^{5}V\rangle$$

1 1 1 2

1

$${\left(\Delta E_1\right)}^2\Delta E_2\Delta E_1\langle V{P}^{5}V\rangle$$

1 1 2 1

1

$$\Delta E_1\Delta E_2{\left(\Delta E_1\right)}^2\langle V{P}^{5}V\rangle$$

1 2 1 1

1

$$\Delta E_2{\left(\Delta E_1\right)}^3\langle V{P}^{5}V\rangle$$

2 1 1 1

1

$$-{\left(\Delta E_1\right)}^5\langle V{P}^{6}V\rangle$$

1 1 1 1 1

1

$$S_6=42$$