Thanks for the comparison. I think there is a slight slip in your math.
I recently bought eneloop rechargs for a dollar apiece. Rechargs are rated for 1000 cycles, but lets be conservative and say they will give 500 cycles, allowing for loss, etc.
For 500 cycles you will pay $41 dollars, plus tax and shipping.
It seems that this should be 500 cycles per rechargeable (40?).
The equivalent in alkys will cost you $325 (500x0.65), a significant difference.
That would be 500 alkys for each rechargeable bought. That massively tips the scale in favor of the rechargeable.
Inspired by your calculation I did some research and calculation of my own. I found that I could get 1900mAh Eneloops around 2€ a piece (shipping and taxes included) rated for 2100 cycles and Alkalines with compareable capacity for 0.25€ a piece when bought in bulk. The cost for electricity to put in the Eneloop would be around 3€ over the life time allowing for low charger effectivity.
That makes 525€ in alkalines or between 5€(2100 cycles) and 11€(500 cycles) in rechargeables for those 2100 cycles.
With Eneloops it almost makes sense using them in extremely low drain devices like electronic clocks.