Coins are $.25 and $1.00.
Bills are $5, $20 and $100.
Easy.
I know we’re attached to quarters.
But if you’ve got bills in $5, $20 and $100, you might as well have symmetrical coins of $0.05, $0.20, and $1.00. And only issue nickels as collectors items, and make them 2 inches in diameter, and sell them for $5.
@septimus: I was wondering about the generative rule.
I quickly noted that {27, 14, 3} was {93-2, 92-4, 9*1-6}. The factor sequences {3, 2, 1} and {2, 4, 6} seem suggestive. I also thought that multiples of nine was a generally fruitful region to look for interesting repeating additive/subtractive behaviors.
But after that I crashed into a wall of laziness and ignorance. I’m lacking the analytic tools to make anything smarter than a brute force search.
Care to throw me/us a bone?
I’m in the same brutal boat as you.
Drop the small-pence, and this is mathematically the same as what I offered upthread (in terms of USD, but that doesn’t matter).
People who think denominations like 2 and 50 aren’t useful, have just never got good at using cash.
I see a lot of support for the notion of dropping the smaller denominations, but I think they’re still useful - you know, for kids.
Most of the children I know are smart enough to realize that they can’t buy anything with the “small-pence” or the US equivalents.
The Canadian government has reviewed the status of the nickel, but is keeping it … for now.
I’d have 95- and 99-cent coins.
And a tree-fitty.