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A315687
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Coordination sequence Gal.6.210.4 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.
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0
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1, 6, 12, 17, 22, 27, 33, 39, 44, 49, 54, 60, 66, 72, 78, 83, 88, 93, 99, 105, 110, 115, 120, 126, 132, 138, 144, 149, 154, 159, 165, 171, 176, 181, 186, 192, 198, 204, 210, 215, 220, 225, 231, 237, 242, 247, 252, 258, 264, 270
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OFFSET
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0,2
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COMMENTS
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Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.
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LINKS
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FORMULA
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a(n) = 3*a(n-1) - 4*a(n-2) + 3*a(n-3) - a(n-4) - a(n-6) + 3*a(n-7) - 4*a(n-8) + 3*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 3*x^9 - 2*x^8 + 2*x^7 + 2*x^6 - x^5 + 2*x^4 + 2*x^3 - 2*x^2 + 3*x + 1)/((x - 1)^2*(x^2 + 1)*(x^2 - x + 1)*(x^4 - x^2 + 1)). (End)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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