A209078 Conjectured list of values of n such that the Diophantine equation a^4 + b^4 = n*c^2 has infinitely many solutions with 0 < a < b.

17, 68, 82, 97, 113, 153, 193, 257, 272, 274, 328, 337, 388, 425, 433, 452, 514, 577, 593, 612, 626, 641, 673, 706, 738, 772, 833, 873, 881, 914, 1017

Offset

1,1

Comments

The squarefree terms, namely: 17, 82, 97, 113, 193, 257, 274, 337, 433, 514, 577, 593, 626, 641, 673, 706, 881, 914, ... make a more interesting sequence, which is already in the OEIS as A184982. - James R. Buddenhagen, Mar 04 2012

References

W. D. Smith, Posting to Math Fun Mailing List, Dec 10 2011.

Links

Table of n, a(n) for n=1..31.

Crossrefs

Cf. A184982.

Sequence in context: A171748 A141940 A294516 * A244630 A248894 A041556

Adjacent sequences: A209075 A209076 A209077 * A209079 A209080 A209081

Keyword

nonn

Author

N. J. A. Sloane, Mar 04 2012

Status

approved