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A349665
Record terms of A349664.
1
0, 1, 2, 3, 7, 17, 27, 37, 87, 137, 157, 187, 247, 437, 687, 787, 937, 1237, 2187, 3437, 3937, 4687, 6187, 8437, 10937, 17187, 19687, 23437, 30937, 42187, 54687, 55687, 85937, 98437, 117187, 154687, 210937, 223437, 273437, 278437, 304687, 429687, 492187, 585937
OFFSET
1,3
COMMENTS
Terms are the record numbers of solutions for the equation: y^4 = z^2 - x^2.
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
KEYWORD
nonn
AUTHOR
Karl-Heinz Hofmann, Dec 18 2021
EXTENSIONS
More terms from Jinyuan Wang, Dec 19 2021
STATUS
approved