Math Is Fun Forum

Here's what I think. In the question we haven't N and n. We have only n. So we take all the numbers between 1 and n and put them on a sircular table.
Example:n=3 we should find is there an order of the numbers 1,2,3 on a sircular table so the rules to be observed.
Seerj must answer,too. Because we may solving a quite different quest then the original.

In mathsy's case b = sqrt((sqrt(5)-1)/2)q=0.7861513778...q

Let the sides be

Then the hypotenuse is

mathsy is right... Again.

And for k+47
I think I got it. But I'm not so sure.
The sum of all the ten numbers must be "random" number too, because if remainders by 10 are ramdon we can't say anyting about the remainder of the sum. I think that the probability is 0.1

Seerj, I understood now. n may be greater than N.

...n<>7
when I tryed n=8 my vb compiler crushed because I had very much AND-s in one row. Tomorrow I can improve my program and I can write a program that calculates by my algoritm.

I can't wait until tomorrow. n<>5 I wrote fast vb6.0 program:
Private Sub Command1_Click()
Const n = 5
For i1 = 1 To 5
For i2 = 1 To 5
For i3 = 1 To 5
For i4 = 1 To 5
For i5 = 1 To 5
If i1 <> i2 And i1 <> i3 And i1 <> i4 And i1 <> i5 And i2 <> i3 And i2 <> i4 And i2 <> i5 And i3 <> i4 And i3 <> i5 And i4 <> i5 And Squ(i1 + i2) + Squ(i2 + i3) + Squ(i3 + i4) + Squ(i4 + i5) + Squ(i5 + i1) = 5 Then Form1.Text1.Text = i1 & i2 & i3 & i4 & i5
Next
Next
Next
Next
Next
End Sub

Function Squ(x)
If Sqr(x) = Math.Round(Sqr(x)) Then Squ = 1 Else Squ = 0
End Function

I've loved this sequence!
I'm starting with making programs tommorow morning, because it's too late now.
See you!

And here's ss with 13 numbers:
1 24 12 4 5 11 14 2 7 9 27 22 3!

So somebody could write a program.
The number of combinations between n numbers in circular table is exactly (n-1)!/2
if n = 50 this makes exactly 304140932017133780436126081660647688443776415689605120000000000 combinations. If there isn't any mathematical way the hard computation will be very hard.

For Polly:
And you REALLY won't understand beacuse it's gone...