The way it works is that there's always one out of 10 outputs active. If you want to start at output 1 but have it OFF when you start then use out-1 for the first LED. Out-0 will be the first output to go high when you power the circuit. If nothing is attached to "0" then the next clock will drive "1" high. That's where you have LED 1.

Have a look at post #5 again. You'll see Out-0 is not connected to anything.

 

Connect a 0.1u cap and pull down resistor to the 4017 reset pin like I show in my circuit post #9.
This ensures the counter will always be reset at power on (Q0 will always be high at power on).

 

Connect a 0.1u cap and pull down resistor to the 4017 reset pin like I show in my circuit post #9.
This ensures the counter will always be reset at power on (Q0 will always be high at power on).

And the diode if the reset line is also activated by one of the outputs.