a^k+b^k+c^k = d^k+e^k+f^k, for k = 2,4, with a constraint
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- Subject: [mg102426] a^k+b^k+c^k = d^k+e^k+f^k, for k = 2,4, with a constraint
- From: TPiezas <tpiezas at gmail.com>
- Date: Sun, 9 Aug 2009 06:04:24 -0400 (EDT)
Hello all, It's easy to find small and non-trivial solns to the multi-grade eqn, a^k+b^k+c^k = d^k+e^k+f^k, for k = 2,4. However, I need the additional constraint that, a^2+b^2+c^2 = y^2. What's an efficient and _fast_ code in Mathematica to find solns to this? Any help will be appreciated. Thanks. P.S. This system came up in a certain 6-8-7 identity similar to Ramanujan's 6-10-8. - Titus