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Two 2-Fibonacci sequences generated by a mixed scheme. Part 1

Krassimir T. Atanassov

Abstract: A new scheme of 2-Fibonacci sequences is introduced and the explicit formulas for its n-th members are given. For difference of all previous sequences from Fibonacci type, the present 2-Fibonacci sequences are obtained by a new way. It is proved that the new sequences have bases with 48 elements about function 𝜑 and modulo 9.
Keywords: function / mixed / scheme / Fibonacci sequences / explicit / modulo / members / previous

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