Trend in number of neutrons in relation to the atomic number

*This is entirely my work and I haven't found any work resembling and/or relating to this work of mine.
Although the number of neutrons in an atom can be calculated using the formula
Number of neutrons=Atomic mass - Number of Protons
upon closer examination, I have come to find a trend in the numbers.However, I have limited it till Calcium as the numbers get more complicated as the atomic number increases.The trend, in layman's terms is just an arithmetic progression.
 If the number of neutrons is subtracted by the atomic number for every element till Calcium, an interesting trend shows up.
Starting from Hydrogen and proceeding towards Calcium:
-1 , 0 , {1 , 1 , 1 , 0 , 0 , 0} , 1 , 0 , 1 , 0 , 1 , 0 , 1 , 0 , 1 ,{4} , 1 , 0 
 The only exceptions in the pattern are Hydrogen and Argon; Hydrogen has no neutrons at all and Argon has 4 more neutrons than protons (i.e. Atomic Number).

Sub trend 1:

In the pattern mentioned above, I have placed "1 , 1 , 1 , 0 . 0 . 0" in { } because blatantly, they  form an interesting pattern. A triplet of "1" and a triplet of "0".

Sub trend 2:

From Fluorine to Chlorine, a spellbinding pattern forms. A boolean of 1s and 0s.A "one" followed by a "zero". At Argon, the pattern is being "interrupted" ; however, if we do consider the "4" in Argon to be "0", the pattern continues undisturbed for the next two elements also.

Drawback:

This pattern however, only follows till Calcium. After calcium, the numbers go astray.
3 , 4 , 5 , 4 , 5 , 4 , 4 , 2 , 6 , 5
 Although I have observed this, as of now, I cannot think of an explanation nor have I found it anywhere in the Internet or past scientific journals.Nevertheless, I continue to search for an explanation.

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