.Correcting error:
Forcing beta to say 20 = Ib~12 mA
Under worst case the 555 Vout will be ~ V+ -1,5 and Vbe = .6v so the voltage available to drive .12mA is~7V
So 7V/ 12mA =~583Ω Nearest E12, 560Ω.
https://www.fairchildsemi.com/datasheets/TI/TIP41C.pdf
beta may be as low as 30
Using a logic...