## Magic Numbers and the Island of Stability

2, 8, 14, 20, 32, 50, 126

The nth magic number is equal to

\[2({}^n C_1 + {}^n C_2 + ....+ {}^n C_n)\]

.It is believed that this rule does not hold for higher magic numbers because the shape of the nucleus is believed to change for higher numbers than above.

There are forecast to be stable nuclei in an island of stability with 298, 318 and 360 nucleons.