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Omni-MATH / Let f:N→N be a function satisfying the following conditions: (1) f(1)=1; (2) ∀n∈N, 3f(n)f(2n+1)=f(2n)(1+3f(n)); (3) ∀n∈N, f(2n)<6f(n). Find all solutions of equation f(k)+f(l)=293,… · Discussion

Discussing Let f:N→N be a function satisfying the following conditions: (1) f(1)=1; (2) ∀n∈N, 3f(n)f(2n+1)=f(2n)(1+3f(n)); (3) ∀n∈N, f(2n)<6f(n). Find all solutions of equation f(k)+f(l)=293,… · Omni-MATH

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