How to I count odd or even numbers in bash?

I needed a quick loop to count odd then even numbers in bash.

In this example I want to call a script called “script.sh” with an argument of an odd number from 1037 to 1059 recursively.

for (( i=1037; i<=1059; i=i+2 ))
do
  script.sh $i
done

Obviously, for even numbers, start with an even number

for (( i=1038; i<=1059; i=i+2 ))
do
  script.sh $i
done