A296378 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.

3, 5, 8, 13, 34

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..5.

Example

a(1) =  3 =  2 +  1.
a(2) =  5 =  2 +  3.
a(3) =  8 =  3 +  5.
a(4) = 13 =  5 +  8.
a(5) = 34 = 21 +  8 + 5.

Crossrefs

Cf. A010784, A263448.

Sequence in context: A218607 A289916 A014252 * A177231 A259597 A095223

Adjacent sequences: A296375 A296376 A296377 * A296379 A296380 A296381

Keyword

base,nonn,fini,full,less

Author

José de Jesús Camacho Medina, Dec 11 2017

Status

approved