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A008923
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Euler's family of solutions to n = x^4 + y^4 = z^4 + w^4.
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0
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90239171293339457, 43217672330080936976, 6822171645549542113537, 497455247066570553051152, 20549128177340906621890817, 24223393095189686902587392, 549140647573975773898200592
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Mordell, Diophantine Equations, 1969, p. 90.
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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.
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CROSSREFS
| Cf. A003824.
Sequence in context: A083105 A115499 A104837 * A146088 A092697 A097717
Adjacent sequences: A008920 A008921 A008922 * A008924 A008925 A008926
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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