 The 3-Fibonacci sequence is

The 4-Fibonacci sequence is

The 5-Fibonacci sequence is

The 6-Fibonacci sequence is

The -Fibonacci constant is the ratio toward which adjacent formula_7-Fibonacci numbers tend; it is also called the th metallic mean, and it is the only positive root of formula_44.For example, the case of formula_45 is formula_46, or the golden ratio, and the case of formula_47 is formula_48, or the silver ratio.Generally, the case of formula_7 is formula_50.