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A314159
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Coordination sequence Gal.6.624.3 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, 5, 11, 16, 22, 28, 33, 38, 44, 50, 55, 61, 66, 71, 77, 82, 88, 94, 99, 104, 110, 116, 121, 127, 132, 137, 143, 148, 154, 160, 165, 170, 176, 182, 187, 193, 198, 203, 209, 214, 220, 226, 231, 236, 242, 248, 253, 259, 264, 269
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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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G.f.: (1 + 3*x + 3*x^2 + 2*x^3 + 4*x^4 + 2*x^5 + 3*x^6 + 2*x^7 + 4*x^8 + 2*x^9 + 3*x^10 + 3*x^11 + x^12) / ((1 - x)^2*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)*(1 - x^2 + x^4)).
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.
(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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