perplexus.info :: Numbers : Equality? Yes, but not exactly...

Equality? Yes, but not exactly... (Posted on 2017-03-14)

Let's call two integers approximately equal if they differ by at most 1.
How many different ways are there to write 2017 as a sum of two or more positive integers which are all approximately equal to each other?

The order of terms does not matter: two ways which only differ in the order of terms are counted as one.

Submitted by Ady TZIDON

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Solution: (Hide)

There are 2016 ways to do it.
Detailed explanation @ Brian Smith's comment.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2017-03-14 11:03:31

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