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1, 11, 44, 116, 242, 438, 719, 1101, 1599, 2229, 3006, 3946, 5064, 6376, 7897, 9643, 11629, 13871, 16384, 19184, 22286, 25706, 29459, 33561, 38027, 42873, 48114, 53766, 59844, 66364, 73341, 80791, 88729, 97171, 106132, 115628, 125674, 136286, 147479, 159269
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (1 + 8*x + 13*x^2 + 8*x^3 + x^4) / ((1 - x)^4*(1 + x)).
a(n) = (62*n^3 + 93*n^2 + 82*n + 24) / 24 for n even.
a(n) = (62*n^3 + 93*n^2 + 82*n + 27) / 24 for n odd.
a(n) = 3*a(n-1) - 2*a(n-2) - 2*a(n-3) + 3*a(n-4) - a(n-5) for n>4.
(End)
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PROG
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(PARI) Vec((1 + 8*x + 13*x^2 + 8*x^3 + x^4) / ((1 - x)^4*(1 + x)) + O(x^60)) \\Colin Barker,Feb 11 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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STATUS
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approved
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