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A299281
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Coordination sequence for "reo-e" 3D uniform tiling.
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51
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1, 6, 19, 41, 72, 114, 166, 224, 288, 364, 454, 550, 648, 758, 886, 1020, 1152, 1296, 1462, 1634, 1800, 1978, 2182, 2392, 2592, 2804, 3046, 3294, 3528, 3774, 4054, 4340, 4608, 4888, 5206, 5530, 5832, 6146, 6502, 6864, 7200, 7548, 7942, 8342, 8712, 9094, 9526, 9964, 10368
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refs;
listen;
history;
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internal format)
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OFFSET
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0,2
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COMMENTS
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REFERENCES
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B. Grünbaum, Uniform tilings of 3-space, Geombinatorics, 4 (1994), 49-56. See tiling #9.
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LINKS
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FORMULA
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G.f.: (x+1)*(x^3+x^2+1)*(x^6-2*x^5+x^4+3*x^2+2*x+1) / ((x^2+1)^2*(1-x)^3). -N. J. A. Sloane,Feb 12 2018
a(n) = 3*a(n-1) - 5*a(n-2) + 7*a(n-3) - 7*a(n-4) + 5*a(n-5) - 3*a(n-6) + a(n-7) for n>8. -Colin Barker,Feb 14 2018
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PROG
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(PARI) Vec((1 + x)*(1 + x^2 + x^3)*(1 + 2*x + 3*x^2 + x^4 - 2*x^5 + x^6) / ((1 - x)^3*(1 + x^2)^2) + O(x^60)) \\Colin Barker,Feb 14 2018
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CROSSREFS
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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 inA299266for overview.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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