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- The generalized
-Fibonacci sequence (the
th term of which is denoted
) is defined recursively by the following statements:
Note that the regular Fibonacci numbers can be denoted by
in this notaion.
-
means that
has the following properties:
.
-
.
is the least positive integer satisfying these properties.
-
means that
has the following properties:
.
-
.
-
.
is the least positive integer satisfying these properties.
Note:
is then the function that gives the period of the generalized
-Fibonacci sequence in modulo
.
Gregory Stoll
2000-04-08