A349665 Record terms of A349664.

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

Author

Karl-Heinz Hofmann, Dec 18 2021

Keywords

• nonn

Comments

Terms are the record numbers of solutions for the equation: y^4 = z^2 - x^2.

Examples

			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.
		

Links

• Karl-Heinz Hofmann, Full table up to y <= 10^12

Crossrefs

Cf. A000290, A000583, A002144, A002145, A271576, A346115, A349663.

Programs

PARI

lista(nn) = my(f, r); print1("0, 1, 2"); forstep(n=4, nn, 2, f=factor(n)[, 2]; if(rJinyuan Wang, Dec 19 2021

Extensions

More terms from Jinyuan Wang, Dec 19 2021