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A315266
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Coordination sequence Gal.6.205.3 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, 15, 20, 26, 31, 36, 42, 47, 52, 56, 62, 68, 72, 77, 82, 88, 93, 98, 104, 109, 114, 118, 124, 130, 134, 139, 144, 150, 155, 160, 166, 171, 176, 180, 186, 192, 196, 201, 206, 212, 217, 222, 228, 233, 238, 242, 248, 254
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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) - 2*a(n-8) + 2*a(n-9) - 2*a(n-10) + 2*a(n-11) - a(n-12) for n > 12.
G.f.: (x^12 + 4*x^11 + 5*x^9 + 6*x^7 - x^6 + 6*x^5 + 5*x^3 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^2 - x + 1)*(x^2 + x + 1)*(x^4 - x^2 + 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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