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 A008923 Euler's family of solutions to n = x^4 + y^4 = z^4 + w^4. 0

%I #6 Mar 30 2012 16:45:26

%S 90239171293339457,43217672330080936976,6822171645549542113537,

%T 497455247066570553051152,20549128177340906621890817,

%U 24223393095189686902587392,549140647573975773898200592

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

%D Mordell, Diophantine Equations, 1969, p. 90.

%p 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.

%Y Cf. A003824.

%K nonn

%O 1,1

%A _N. J. A. Sloane_.

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Last modified June 2 18:23 EDT 2023. Contains 363100 sequences. (Running on oeis4.)