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A313740
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Coordination sequence Gal.5.309.5 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, 10, 15, 20, 25, 31, 37, 43, 49, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 111, 117, 123, 129, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 191, 197, 203, 209, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260
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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) = 2*a(n-1) - a(n-2) - a(n-5) + 2*a(n-6) - a(n-7) - a(n-10) + 2*a(n-11) - a(n-12) for n > 12.
G.f.: (x^12 + 3*x^11 + x^10 + x^7 + 4*x^6 + x^5 + x^2 + 3*x + 1)/(x^12 - 2*x^11 + x^10 + x^7 - 2*x^6 + x^5 + x^2 - 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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