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A314056
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Coordination sequence Gal.4.135.3 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, 5, 11, 15, 21, 27, 31, 37, 42, 47, 53, 57, 63, 69, 73, 79, 84, 89, 95, 99, 105, 111, 115, 121, 126, 131, 137, 141, 147, 153, 157, 163, 168, 173, 179, 183, 189, 195, 199, 205, 210, 215, 221, 225, 231, 237, 241, 247, 252, 257
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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) = 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) - a(n-8) for n > 8.
G.f.: (x^8 + 3*x^7 + 3*x^6 + x^5 + 5*x^4 + x^3 + 3*x^2 + 3*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 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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