New answers tagged number-theory
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Save now! All the digits at half the price
A bit messier than I'd like, but here goes.
As other answers have noted, the doubleable PD10 numbers we want are those where
Let's show that every such number can be specified by:
for an overall ...
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Save now! All the digits at half the price
Let's define some terms:
Now we can begin.
Let's break the problem down now.
Now for the final count!
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Save now! All the digits at half the price
My guess is:
First, observe that the first digit of $x$:
Then, the reasoning goes this way:
I'm not 100% sure of my calculus but this is how I did it:
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How Many Magic Hexagons that use repeated digits?
Question 3 Is it possible to construct a Magic hexagon that uses repeated digits within the grid but doesn't have any repeated digits within any row columns or diagonal line?
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How Many Magic Hexagons that use repeated digits?
Question 1 How many unique patterns are there that use repeating consecutive digits?
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Magic Hexagon 0 + 1 to 9 twice
Edit: while preparing a complete set of possibilities I found more duplicates:
Below is the original set of my 0-centre solutions, rearranged to show duplicates.
These are the two pairs on the first ...
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Smallest Magic Hexagon Using Repeat Digits
I believe this is the smallest value of n using the smallest digits
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