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A315322
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Coordination sequence Gal.6.636.3 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, 10, 16, 21, 27, 32, 37, 43, 48, 54, 58, 64, 70, 74, 80, 85, 91, 96, 101, 107, 112, 118, 122, 128, 134, 138, 144, 149, 155, 160, 165, 171, 176, 182, 186, 192, 198, 202, 208, 213, 219, 224, 229, 235, 240, 246, 250, 256, 262
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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-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 5*x^9 + 4*x^8 + 5*x^7 + 2*x^5 + 5*x^3 + 4*x^2 + 5*x + 1)/(x^10 - x^9 - x^7 + x^6 + x^4 - x^3 - 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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