Make your own free website on
Recursion of magic numbers

Using the equation of the generic member (in the figure - on the white background) we find the recursive equation (in the figure - on the colour background) of sequences of nuclear magic numbers.

Figure 26. Recursive properties of magic numbers for a nucleus of an atom.

It is necessary to repeat the comment to figure 21. Both sequences are described by one recursive equation of the 4-th order, which coincides with the equation of the sum of cubes of natural numbers. The factors in this recursive equation (1, 4, 6, 4, 1) coincide with numbers in 5-th line of the Pascal's Triangle.


VisMath HOME