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A313154
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Coordination sequence Gal.6.252.2 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, 26, 32, 38, 43, 48, 52, 56, 61, 66, 72, 78, 84, 90, 95, 100, 104, 108, 113, 118, 124, 130, 136, 142, 147, 152, 156, 160, 165, 170, 176, 182, 188, 194, 199, 204, 208, 212, 217, 222, 228, 234, 240, 246, 251, 256
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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) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 2*x^9 + 3*x^8 + 2*x^7 + 4*x^6 + 2*x^5 + 4*x^4 + 2*x^3 + 3*x^2 + 2*x + 1)/((x - 1)^2*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + 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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