My wife was surprised to hear me mention my third cup of coffee for the day because she thought I only drank two. Upon some reflection I came up with the above formula to calculate my coffee consumption.
I began by noting that before having kids, I was generally a one cupper. However, after the first boy was born I migrated to two cups a day, one in the morning and one in the afternoon. With the third boy I seem to be consuming two in the morning and one in the afternoon. Therefore, by induction, my consumption would be categorized by c = k + 1.
However, that formula didn’t take the lack of sleep from having a baby into account at all. Hence the middle term was added to represent that for every two hours of sleep I lose, I tend to drink one additional cup of coffee. This formula also anticipates that if I ever got an impossible nine hours of sleep, I would need one less of cup per day. Ahh, to be young again…
Have you calculated your coffee intake formula?