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A310218
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Coordination sequence Gal.5.20.2 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, 3, 7, 12, 14, 21, 25, 26, 29, 35, 40, 40, 49, 53, 52, 55, 63, 68, 66, 77, 81, 78, 81, 91, 96, 92, 105, 109, 104, 107, 119, 124, 118, 133, 137, 130, 133, 147, 152, 144, 161, 165, 156, 159, 175, 180, 170, 189, 193, 182
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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-7) - a(n-14) for n > 14.
G.f.: (x^14 + 3*x^13 + 7*x^12 + 12*x^11 + 16*x^10 + 21*x^9 + 23*x^8 + 24*x^7 + 25*x^6 + 21*x^5 + 14*x^4 + 12*x^3 + 7*x^2 + 3*x + 1)/(x^14 - 2*x^7 + 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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