OFFSET
0,1
COMMENTS
Superhighway created by 'LQTL Ant' L45R135L45R135 from iteration 233 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.
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
G. C. Greubel, 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.: (233 - 209*x)/(1 - x)^2. (End)
E.g.f.: (233 + 24*x)*exp(x). - G. C. Greubel, May 28 2019
MATHEMATICA
Table[24*n + 233, {n, 0, 60}] (* Stefan Steinerberger, Jun 17 2007 *)
LinearRecurrence[{2, -1}, {233, 257}, 60] (* G. C. Greubel, May 28 2019 *)
PROG
(PARI) my(x='x+O('x^60)); Vec((233-209*x)/(1-x)^2) \\ G. C. Greubel, May 28 2019
(Magma) I:=[233, 257]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..60]]; // G. C. Greubel, May 28 2019
(Sage) ((233-209*x)/(1-x)^2).series(x, 60).coefficients(x, sparse=False) # G. C. Greubel, May 28 2019
(GAP) a:=[233, 257];; for n in [3..60] do a[n]:=2*a[n-1]-a[n-2]; od; a; # G. C. Greubel, May 28 2019
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert H Barbour, Mar 20 2007, Jun 12 2007
EXTENSIONS
More terms from Stefan Steinerberger, Jun 17 2007
STATUS
approved