OFFSET
1,3
COMMENTS
Terms are the record numbers of solutions for the equation: y^4 = z^2 - x^2.
LINKS
Karl-Heinz Hofmann, Full table up to y <= 10^12
EXAMPLE
Number of | y | Factorization
solutions | | of y
----------+---+--------------
0 | 1 | -
1 | 2 | [2]
2 | 3 | [3]
3 | 4 | [2, 2]
7 | 6 | [2, 3]
: : :
For more terms with y and factorization of y see link.
PROG
(PARI) lista(nn) = my(f, r); print1("0, 1, 2"); forstep(n=4, nn, 2, f=factor(n)[, 2]; if(r<f=prod(k=2, #f, 4*f[k]+1)*(4*f[1]-1), print1(", ", (r=f)\2))); \\ Jinyuan Wang, Dec 19 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Karl-Heinz Hofmann, Dec 18 2021
EXTENSIONS
More terms from Jinyuan Wang, Dec 19 2021
STATUS
approved