OFFSET
0,5
COMMENTS
For any initial values a(0), a(1), the sequence of real numbers {a(n)} satisfying the relation a(n+2) = |a(n+1)| - a(n) is periodic with period 9.
LINKS
M. Brown and J. F. Slifker, Solution to Problem 6439, Amer. Math. Monthly, 92 (1985), p. 218.
M. Crampin, Piecewise linear recurrence relations, Math. Gaz., November 1992, p. 355.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).
MATHEMATICA
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, -1, 1, 2, 1, -1, 0, 1}, 100] (* Ray Chandler, Aug 26 2015 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 07 2002
STATUS
approved