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A313426
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Coordination sequence Gal.5.220.4 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, 13, 19, 26, 29, 35, 40, 43, 48, 51, 60, 67, 67, 72, 77, 85, 90, 89, 96, 103, 110, 115, 115, 120, 125, 133, 140, 141, 144, 149, 160, 165, 163, 166, 173, 187, 190, 187, 192, 197, 210, 213, 211, 218, 221, 235, 240, 235
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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-2) - a(n-4) + 2*a(n-5) - a(n-6) + 2*a(n-7) + 2*a(n-9) - a(n-10) + 2*a(n-11) - a(n-12) - a(n-14) - a(n-16) for n > 16.
G.f.: (x + 1)^2*(x^2 - x + 1)*(x^12 + 4*x^11 + 7*x^10 + 10*x^9 + 15*x^8 + 16*x^7 + 16*x^6 + 16*x^5 + 15*x^4 + 10*x^3 + 7*x^2 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 1)*(x^4 + x^3 + x^2 + x + 1)^2). (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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