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