A008923 Euler's family of solutions to n = x^4 + y^4 = z^4 + w^4.

90239171293339457, 43217672330080936976, 6822171645549542113537, 497455247066570553051152, 20549128177340906621890817, 24223393095189686902587392, 549140647573975773898200592

Offset

1,1

References

Mordell, Diophantine Equations, 1969, p. 90.

Links

Table of n, a(n) for n=1..7.

Maple

Set x := a^7+a^5*b^2-2*a^3*b^4+3*a^2*b^5+a*b^6; y := a^6*b-3*a^5*b^2-2*a^4*b^3+a^2*b^5+b^7; z := a^7+a^5*b^2-2*a^3*b^4-3*a^2*b^5+a*b^6; w := a^6*b+3*a^5*b^2-2*a^4*b^3+a^2*b^5+b^7; then x^4+y^4=z^4+w^4.

Crossrefs

Cf. A003824.

Sequence in context: A115499 A257168 A104837 * A267076 A146088 A217592

Adjacent sequences: A008920 A008921 A008922 * A008924 A008925 A008926

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved