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A312411
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Coordination sequence Gal.3.39.1 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, 4, 8, 14, 18, 20, 26, 30, 38, 36, 44, 46, 56, 54, 62, 62, 74, 70, 82, 78, 92, 86, 100, 96, 110, 102, 118, 112, 130, 118, 136, 128, 148, 136, 154, 144, 166, 152, 174, 160, 184, 168, 192, 178, 202, 184, 210, 194, 222, 200
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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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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) = - a(n-1) + a(n-4) + 2*a(n-5) + a(n-6) - a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 5*x^9 + 14*x^8 + 22*x^7 + 29*x^6 + 32*x^5 + 31*x^4 + 22*x^3 + 12*x^2 + 5*x + 1)/(x^10 + x^9 - x^6 - 2*x^5 - x^4 + x + 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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