What year will October 1st fall on a Friday or Saturday?

It is not practical to go infinitely in the future. So let's look at the rest of the 21st century. For those, the 1st of October is on a Friday in the following years:

2021

2027

2032

2038

2049

2055

2060

2066

2077

2083

2088

2094

2100

For the rest of the 21st century the 1st of October will be on a Saturday in these years:

2016

2022

2033

2039

2044

2050

2061

2067

2072

2078

2089

2095