OFFSET

1,1

COMMENTS

Ju shows that the integers represented by the two ternary forms are identical.

This is S1 on Table 1.1 of Ju's paper.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Jangwon Ju, Ternary quadratic forms representing same integers, arXiv:2002.02205 [math.NT], 2020.

EXAMPLE

9 is (1, 1, 0) in the first form since 9 = 5*1^2 + 8*1^2 - 4*1*1 = 5 + 8 - 4. It is (1, 0, 1) in the second form for similar reasons.

14 is (-1, 0, 1) in the first form since 14 = 5*(-1)^2 + 8*1^2 - (-1)*1 = 5 + 8 + 1. It is (0, -1, 1) in the second form since 14 = 5*(-1)^2 + 8*1^2 - (-1)*1 = 5 + 8 + 1.

CROSSREFS

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Feb 08 2020

STATUS

approved