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 A299285 Coordination sequence for "tea" 3D uniform tiling. 51
 1, 10, 33, 73, 128, 199, 285, 388, 506, 640, 789, 955, 1136, 1333, 1545, 1774, 2018, 2278, 2553, 2845, 3152, 3475, 3813, 4168, 4538, 4924, 5325, 5743, 6176, 6625, 7089, 7570, 8066, 8578, 9105, 9649, 10208, 10783, 11373, 11980, 12602, 13240, 13893 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS First 20 terms computed by Davide M. Proserpio using ToposPro. REFERENCES B. Grünbaum, Uniform tilings of 3-space, Geombinatorics, 4 (1994), 49-56. See tiling #4. LINKS Reticular Chemistry Structure Resource (RCSR), The tea tiling (or net) FORMULA Conjectures from Colin Barker, Feb 11 2018: (Start) G.f.: (1 + 8*x + 14*x^2 + 17*x^3 + 14*x^4 + 8*x^5 + x^6) / ((1 - x)^3*(1 + x)*(1 + x^2)). a(n) = 2*a(n-1) - a(n-2) + a(n-4) - 2*a(n-5) + a(n-6) for n>6. (End) CROSSREFS See A299286 for partial sums. The 28 uniform 3D tilings: cab: A299266, A299267; crs: A299268, A299269; fcu: A005901, A005902; fee: A299259, A299265; flu-e: A299272, A299273; fst: A299258, A299264; hal: A299274, A299275; hcp: A007899, A007202; hex: A005897, A005898; kag: A299256, A299262; lta: A008137, A299276; pcu: A005899, A001845; pcu-i: A299277, A299278; reo: A299279, A299280; reo-e:  A299281, A299282; rho: A008137, A299276; sod: A005893, A005894; sve: A299255, A299261; svh: A299283, A299284; svj: A299254, A299260; svk: A010001, A063489; tca: A299285, A299286; tcd: A299287, A299288; tfs: A005899, A001845; tsi: A299289, A299290; ttw: A299257, A299263; ubt: A299291, A299292; bnn: A007899, A007202. See the Proserpio link in A299266 for overview. Sequence in context: A063160 A065149 A299287 * A081437 A085490 A162433 Adjacent sequences:  A299282 A299283 A299284 * A299286 A299287 A299288 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 10 2018 STATUS approved

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Last modified January 24 21:12 EST 2021. Contains 340411 sequences. (Running on oeis4.)