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 A126979 a(n) = 24*n + 233. 4
 233, 257, 281, 305, 329, 353, 377, 401, 425, 449, 473, 497, 521, 545, 569, 593, 617, 641, 665, 689, 713, 737, 761, 785, 809, 833, 857, 881, 905, 929, 953, 977, 1001, 1025, 1049, 1073, 1097, 1121, 1145, 1169, 1193, 1217, 1241, 1265, 1289, 1313, 1337, 1361 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A031041, A017581, A126978, A126980. Has many terms in common with A031041. Sequence in context: A301828 A132917 A139652 * A127340 A140033 A142182 Adjacent sequences:  A126976 A126977 A126978 * A126980 A126981 A126982 KEYWORD easy,nonn AUTHOR Robert H Barbour, Mar 20 2007, Jun 12 2007 EXTENSIONS More terms from Stefan Steinerberger, Jun 17 2007 STATUS approved

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Last modified September 18 22:56 EDT 2020. Contains 337174 sequences. (Running on oeis4.)