Or, like, is the joke that it's not a Fibonacci number? Because the closest one is 34…

We probably made an adding error somewhere then.

To be clear this was operating under a couple of assumptions, also;

using Aces for 1s and Jokers for 0s

expressing all of the fibonacci numbers up to the limit in a sequence, using the cards themselves (eg. the first several terms were 1 1 2 3 5, 8, 13 expressed as A, A, 2, 3, 5, 8, A, 3 and so on, where an Ace and a 3 next to each other express "13"). So the biggest hurdle you run into is just running out of cards to express a given digit.

I didn't think of using the face cards to express 10, 11, and 12 respectively. You could get a lot higher that way.

So, okay, because now I'm doing this I guess. This is basically its own base, now that I'm thinking about it properly.

....But there's the added limitation that you only have an "inventory" of so many of each digit. Two Jokers, four of everything else.

So now Violet and I are wondering about this in a generalized sense

What's the largest number you can express using this system, full stop?

How far can you get along a given integer sequence (eg. the Fibonacci sequence)? Assuming you have to express every term in it in order, starting from the smallest?

I'm probably not formulating these questions in a sufficiently rigorous way but I am thinking about it now.

There's probably some field of math that handles these questions elegantly.

My hunch is that the largest number you can "write" in this way is KKKKQQQQJJJJ99998888777766665555444433332222111100, or written normally, 12,121,212,111,111,111,010,101,099,998,888,777,766,665,555,444,433,332,222,111,100

You are the end result of a “would you push the button” prompt where the prompt was “you have unlimited godlike powers but you appear to all and sundry to be an impetuous child” – Zero, 2022

there's a "10" card in the deck, though, is what I think he's saying

## Comments

Or, like, is the joke that it's not a Fibonacci number? Because the closest one is 34…

We probably made an adding error somewhere then.

Jane’s previous attempt was expressing numbers in base 12; adding the 10 as a 10 would just make it base 13 instead, like so

Joker = 0

Ace = 1

2

3

4

5

6

7

8

9

10

Jack = 11

Queen = 12

King = 13