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A312963
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Coordination sequence Gal.6.153.2 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, 13, 18, 24, 29, 34, 40, 45, 49, 54, 58, 62, 67, 71, 76, 82, 87, 92, 98, 103, 107, 112, 116, 120, 125, 129, 134, 140, 145, 150, 156, 161, 165, 170, 174, 178, 183, 187, 192, 198, 203, 208, 214, 219, 223, 228, 232, 236
(list;
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refs;
listen;
history;
text;
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 + 3*x^9 + 5*x^8 + 3*x^7 + 2*x^6 + x^5 + 2*x^4 + 3*x^3 + 5*x^2 + 3*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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