OFFSET
0,1
COMMENTS
Superhighway created by 'LQTL Ant' L90R135L90R135 from iteration 47 where the Ant moves in a 'Moore neighborhood' (nine cells), the L indicates a left turn, the R a right turn, and the numerical value is the turn angle (in degrees) at each iteration.
REFERENCES
P. Sakar, "A Brief History of Cellular Automata," ACM Computing Surveys, vol. 32, 2000.
S. Wolfram, A New Kind of Science, 1st ed. Il.: Wolfram Media Inc., 2002.
LINKS
Diana Mecum, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
From Chai Wah Wu, May 30 2016: (Start)
a(n) = 2*a(n-1) - a(n-2) for n > 1.
G.f.: (-33*x + 47)/(x - 1)^2. (End)
E.g.f.: (47 + 14*x)*exp(x). - G. C. Greubel, May 30 2016
MATHEMATICA
Table[14*n + 47, {n, 0, 60}] (* Stefan Steinerberger, Jun 17 2007 *)
LinearRecurrence[{2, -1}, {47, 61}, 50] (* G. C. Greubel, May 30 2016 *)
PROG
(Magma) [14*n + 47: n in [0..60] ]; // Vincenzo Librandi, Jul 18 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert H Barbour, Mar 20 2007, Jun 12 2007
EXTENSIONS
More terms from Stefan Steinerberger and Diana L. Mecum, Jun 17 2007
STATUS
approved