The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A265046 Coordination sequence for a 4.6.6 point in the 3-transitive tiling {4.6.6, 6.6.6, 6.6.6.6} of the plane by squares and dominoes (hexagons). 3
 1, 3, 5, 8, 13, 18, 23, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This tiling is 3-transitive but not 3-uniform since the polygons are not regular. It is a common floor-tiling. The coordination sequences with respect to the points of types 4.6.6 (labeled "C" in the illustration), 6.6.6 ("B"), 6.6.6.6 ("A") are A265046, A265045, and A008574, respectively. The present sequence is for a "C" point. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 N. J. A. Sloane, A portion of the 3-transitive tiling {4.6.6, 6.6.6, 6.6.6.6} N. J. A. Sloane, A portion of the 3-transitive tiling {4.6.6, 6.6.6, 6.6.6.6} showing the three types of point N. J. A. Sloane, Hand-drawn illustration showing a(0) to a(8) Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA For n >= 7 all three sequences equal 4n. (For n >= 7 the n-th shell contains n-1 points in the interior of each quadrant plus 4 points on the axes.) From Colin Barker, Jan 01 2016: (Start) a(n) = 2*a(n-1)-a(n-2) for n>8. a(n) = 4*n for n>6. G.f.: (1+x)*(1+x^3+x^4-x^5+x^6-x^7) / (1-x)^2. (End) PROG (PARI) Vec((1+x)*(1+x^3+x^4-x^5+x^6-x^7)/(1-x)^2+ O(x^100)) \\ Colin Barker, Jan 01 2016 CROSSREFS Cf. A008574, A265045. Sequence in context: A337503 A310035 A310036 * A158384 A053651 A175388 Adjacent sequences: A265043 A265044 A265045 * A265047 A265048 A265049 KEYWORD nonn,easy AUTHOR N. J. A. Sloane and Susanna Cuyler, Dec 27 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 8 00:04 EDT 2024. Contains 375749 sequences. (Running on oeis4.)