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 Absolute Value Muse (Posted on 2014-02-19)
Determine the number of integer solutions to:
|x|+ |y| + |z| = 15

Note:

The absolute value function F(x) = |x| is defined as:
```        x if x ≥ 0
F(x) =
-x if x < 0
```

 No Solution Yet Submitted by K Sengupta Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: General Solution -- Two geometric methods | Comment 3 of 4 |
(In reply to General Solution -- Two geometric methods by Steve Herman)

Perhaps someone can do the algebra to prove

C(n-1,2)*8 + (C(n+2,2)-C(n-1,2)-3)*4 + 6 = 4*n^2 + 2

the LHS of which is the generalization of my method.

 Posted by Charlie on 2014-02-20 09:56:14
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