An -step Fibonacci sequence is given by defining for , , , and
(1) |
The limit
is given by solving
(2) |
(3) |
(4) |
(5) |
(6) |
See also Fibonacci Number, Tribonacci Number
References
Sloane, N. J. A. Sequences
A000045/M0692,
A000073/M1074, and
A000078/M1108
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
© 1996-9 Eric W. Weisstein