Well done on my question to both Daithi and pdurrant, and both correct (pdurrant arrived at the correct general formula in n). I wondered if anyone would use a computer program. I arrived at the same general formula in n by computing the formula for the sum from j=1 to j=n of j(n+1-j).
Those of us with mathematical minds think of all sorts of mathematical aspects of things. Like the fact that again for a generalization to n days, g(k) is the total number of gifts given of the type first given on day k. g(k) = k(n+1-k). This means that there will be a day or two days (dealing with integers, not a continuous function) where g(k) will reach a maximum; that being (n+1)/2. So for the Twelve Days of Christmas at total of 42 Geese-a-Laying will be given, 42 Swans-a-Swimming, but 40 Gold Rings and 40 Maids-a-Milking.
I know nothing about golf, except Tiger Woods is very good at golf and very bad at relationships with women.
So onto Fbone with a good question then?