One suggestion is that if you need more precise control of the one second you are better off using a counter circuit with a higher frequency oscillator and some control logic.
One second region time constants operate at very high impedance levels which are affected by IC bias currents and PC board surface contaminations that draw leakage currents.
You might consider a divider circuit anyway, it might be cheaper than a large capacitor and the attendant high impedence headaches.
Some species of 555 timer have a built in divider chain, but then they aren't going to be as plentiful as the more generic 555 and therefore disproportionally more expensive
With 555 you're never get same period for impulse=1 and impulse=0. So my suggestion is to make oscilator with 555 and with some cmos divider make 1 sec.
I need a one sec pulse to input to a 4017 decade counter. What I need to to know what parts and a diagram of how to hook it up to get the one sec pulse.