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A315693
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Coordination sequence Gal.3.50.3 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, 12, 17, 22, 28, 34, 40, 46, 51, 56, 62, 68, 74, 80, 85, 90, 96, 102, 108, 114, 119, 124, 130, 136, 142, 148, 153, 158, 164, 170, 176, 182, 187, 192, 198, 204, 210, 216, 221, 226, 232, 238, 244, 250, 255, 260, 266, 272, 278
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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) - a(n-6) for n > 6.
G.f.: (x^6 + 4*x^5 + 2*x^4 + 3*x^3 + 2*x^2 + 4*x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^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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