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A313144
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Coordination sequence Gal.5.219.2 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, 9, 14, 20, 25, 28, 33, 38, 42, 49, 54, 56, 62, 67, 70, 78, 83, 84, 91, 96, 98, 107, 112, 112, 120, 125, 126, 136, 141, 140, 149, 154, 154, 165, 170, 168, 178, 183, 182, 194, 199, 196, 207, 212, 210, 223, 228, 224, 236
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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-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - a(n-6) + a(n-7) - a(n-8) for n > 8.
G.f.: (x^8 + 3*x^7 + 6*x^6 + 7*x^5 + 9*x^4 + 7*x^3 + 6*x^2 + 3*x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^2 + x + 1)^2). (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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