Saga ID: dfa1af Aug. 15, 2018, 9:30 p.m. No.7265   🗄️.is 🔗kun   >>7269 >>7273

Guys get this, for column 2, nd = 2t^2 + 2n*t + 1

 

this can somehow be generalized for even cells.

I feel like this is a BIG improvement, hopefully.

Saga ID: dfa1af Aug. 15, 2018, 9:43 p.m. No.7266   🗄️.is 🔗kun   >>7269

See where it says (2,3)? these are respectively t and n for d = 7. there are more integer solutions, I think one more if I'm not mistaken, the trivial solution.

Saga ID: dfa1af Aug. 15, 2018, 11:26 p.m. No.7268   🗄️.is 🔗kun   >>7269 >>7317

For even e:

nd = 2t^2 + 2nt + (e/2)

 

For odd e:

nd = 2t^2 + 2(n-1)t - (n - ((e+1)/2))

 

anyone know how I can find integer solution of a given graph?

Saga ID: dfa1af Aug. 19, 2018, 8:55 a.m. No.7317   🗄️.is 🔗kun

I don't want to put anyone's hopes down but the two formulas stated here >>7268 are merely the same as

 

x^2 + e = 2n (d-x)

 

which can be derived from this equation:

 

(d+n)^2 - (x+n)^2 = d^2 - e

 

Pic for c20737