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A008923 Euler's family of solutions to n = x^4 + y^4 = z^4 + w^4. 0
90239171293339457, 43217672330080936976, 6822171645549542113537, 497455247066570553051152, 20549128177340906621890817, 24223393095189686902587392, 549140647573975773898200592 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
Mordell, Diophantine Equations, 1969, p. 90.
LINKS
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
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 13:19 EDT 2024. Contains 371254 sequences. (Running on oeis4.)