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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. Gr├╝nbaum, Uniform tilings of 3-space, Geombinatorics, 4 (1994), 49-56. See tiling #4.

LINKS

Table of n, a(n) for n=0..42.

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 November 15 04:00 EST 2018. Contains 317225 sequences. (Running on oeis4.)