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Fibonacci numbers that can be expressed as a sum of two or more Fibonacci numbers such that no digit appears more than once in the equation.
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%I #22 Jan 07 2018 08:37:06

%S 3,5,8,13,34

%N Fibonacci numbers that can be expressed as a sum of two or more Fibonacci numbers such that no digit appears more than once in the equation.

%C This sequence is finite because the Fibonacci sequence grows very fast, forcing some digit to repeat. The last term is a(5) = 34.

%e a(1) = 3 = 2 + 1.

%e a(2) = 5 = 2 + 3.

%e a(3) = 8 = 3 + 5.

%e a(4) = 13 = 5 + 8.

%e a(5) = 34 = 21 + 8 + 5.

%Y Cf. A010784, A263448.

%K base,nonn,fini,full,less

%O 1,1

%A _José de Jesús Camacho Medina_, Dec 11 2017