This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298022 Coordination sequence for Dual(3^3.4^2) tiling with respect to a trivalent node. 22
 1, 3, 7, 12, 17, 23, 28, 33, 37, 42, 47, 51, 56, 61, 65, 70, 75, 79, 84, 89, 93, 98, 103, 107, 112, 117, 121, 126, 131, 135, 140, 145, 149, 154, 159, 163, 168, 173, 177, 182, 187, 191, 196, 201, 205, 210, 215, 219, 224, 229, 233, 238, 243, 247, 252, 257, 261 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This tiling is also called the prismatic pentagonal tiling, or the cem-d net. It is one of the 11 Laves tilings. REFERENCES B. Gruenbaum and G. C. Shephard, Tilings and Patterns, W. H. Freeman, New York, 1987. See p. 96. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..1000 Reticular Chemistry Structure Resource (RCSR), The cem-d tiling (or net) Rémy Sigrist, PARI program for A298022 N. J. A. Sloane, Overview of coordination sequences of Laves tilings [Fig. 2.7.1 of Grünbaum-Shephard 1987 with A-numbers added and in some cases the name in the RCSR database] N. J. A. Sloane, Illustration of initial terms FORMULA Conjectures from Colin Barker, Jan 22 2018: (Start) G.f.: (1 + 2*x + 4*x^2 + 4*x^3 + 3*x^4 + 2*x^5 - 2*x^8) / ((1 - x)^2*(1 + x + x^2)). a(n) = a(n-1) + a(n-3) - a(n-4) for n>5. (End) PROG (PARI) See Links section. CROSSREFS See A298023 for partial sums, A298024 for a tetravalent point. List of coordination sequences for Laves tilings (or duals of uniform planar nets): [3,3,3,3,3.3] = A008486; [3.3.3.3.6] = A298014, A298015, A298016; [3.3.3.4.4] = A298022, A298024; [3.3.4.3.4] = A008574, A296368; [3.6.3.6] = A298026, A298028; [3.4.6.4] = A298029, A298031, A298033; [3.12.12] = A019557, A298035; [4.4.4.4] = A008574; [4.6.12] = A298036, A298038, A298040; [4.8.8] = A022144, A234275; [6.6.6] = A008458. Sequence in context: A310246 A310247 A310248 * A227133 A170883 A198463 Adjacent sequences:  A298019 A298020 A298021 * A298023 A298024 A298025 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 21 2018 EXTENSIONS More terms from Rémy Sigrist, Jan 21 2018 STATUS approved

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

Last modified March 26 20:47 EDT 2019. Contains 321535 sequences. (Running on oeis4.)