The hockey stick rule describes a pattern where numbers are arranged in diagonals resembling a hockey stick shape. The sum of the numbers in each diagonal equals the single number directly below the last number in that diagonal. This pattern results in the numbers forming Sierpinski's triangle when odd and even numbers are colored differently.

1. Hockey Stick

2. History
It is called hockey
stick rule since the
numbers involved form
a long straight line like
the handle of the
hockey stick and the
quick turn at the end
where the sum appear
is like the part of the
contact the puck.

3. This pattern follow the diagonal
which start with any number 1 at the
border sides and extend diagonally
into triangle.
The diagonal selection of number
must end inside the triangle.
The sum of the numbers in the
diagonal is equal to number below the
last of the diagonal which is not on
diagonal

4. Example
1+1+1+1+1=5
1+4+10+20=35
1+2+3+4=10
1+5+15=21

5. Odd and Even

6. If you color the
Odd and Even
numbers, you
end up with a
pattern the
same as the
Sierpinski
Triangle