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forum.math.uoa.gr • Προβολή θέματος - all positive integer ordered pair

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Ημερομηνία 18 Νοέμ 2017, 06:28

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 Θέμα δημοσίευσης: all positive integer ordered pair
ΔημοσίευσηΔημοσιεύτηκε: 20 Μαρ 2016, 12:58 
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Regular Forumer

Εγγραφή: 23 Νοέμ 2011, 19:56
Δημοσ.: 169
All positive integer ordered pair (n,r) in \binom{n}{r} = 2016


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 Θέμα δημοσίευσης: all positive integer ordered pair
ΔημοσίευσηΔημοσιεύτηκε: 14 Απρ 2016, 15:29 
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Regular Forumer

Εγγραφή: 11 Φεβ 2007, 21:13
Δημοσ.: 630
1.the trivial solution

[unparseable or potentially dangerous latex formula]

and

[unparseable or potentially dangerous latex formula]


2.The number 2016 is a triangular one i.e. of the form :

[unparseable or potentially dangerous latex formula]

so the next pair is

[unparseable or potentially dangerous latex formula]

and

[unparseable or potentially dangerous latex formula]


3.The number 2016 is NOT a tetrahedral one i.e. of the form :

[unparseable or potentially dangerous latex formula]

with binomial expression :

[unparseable or potentially dangerous latex formula] so you don’t need to search any further… these are the only solutions.


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 Θέμα δημοσίευσης: Re: all positive integer ordered pair
ΔημοσίευσηΔημοσιεύτηκε: 13 Μάιος 2016, 03:41 
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Regular Forumer

Εγγραφή: 23 Νοέμ 2011, 19:56
Δημοσ.: 169
Thanks Apokalyptioks.


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