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A315964
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Coordination sequence Gal.6.528.6 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, 9, 13, 18, 21, 26, 29, 36, 41, 43, 48, 53, 56, 61, 64, 72, 76, 77, 83, 88, 91, 96, 99, 108, 111, 111, 118, 123, 126, 131, 134, 144, 146, 145, 153, 158, 161, 166, 169, 180, 181, 179, 188, 193, 196, 201, 204, 216, 216
(list;
graph;
refs;
listen;
history;
text;
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) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) + a(n-8) - a(n-9) + a(n-10) - a(n-11) + a(n-12) - a(n-13) + a(n-14) - a(n-15) for n > 15.
G.f.: (x^15 + 5*x^14 + 4*x^13 + 10*x^12 + 7*x^11 + 15*x^10 + 10*x^9 + 19*x^8 + 15*x^7 + 14*x^6 + 12*x^5 + 9*x^4 + 9*x^3 + 4*x^2 + 5*x + 1)/((x - 1)^2*(x + 1)*(x^2 + 1)^2*(x^4 + 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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