A126980 a(n) = 14*n + 47.

47, 61, 75, 89, 103, 117, 131, 145, 159, 173, 187, 201, 215, 229, 243, 257, 271, 285, 299, 313, 327, 341, 355, 369, 383, 397, 411, 425, 439, 453, 467, 481, 495, 509, 523, 537, 551, 565, 579, 593, 607, 621, 635, 649, 663, 677, 691, 705, 719, 733, 747

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

Cf. A017041, A019430, A094867, A126978, A126979.

Sequence in context: A368077 A243430 A342093 * A354442 A354461 A039355

Adjacent sequences: A126977 A126978 A126979 * A126981 A126982 A126983

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