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A315685
Coordination sequence Gal.4.140.4 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.
0
1, 6, 12, 17, 22, 27, 32, 38, 44, 50, 56, 61, 66, 71, 76, 82, 88, 94, 100, 105, 110, 115, 120, 126, 132, 138, 144, 149, 154, 159, 164, 170, 176, 182, 188, 193, 198, 203, 208, 214, 220, 226, 232, 237, 242, 247, 252, 258, 264, 270
OFFSET
0,2
COMMENTS
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.
FORMULA
Conjectures from Chai Wah Wu, Jan 25 2020: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.
G.f.: (x^6 + 4*x^5 + x^4 - x^3 + x^2 + 4*x + 1)/((x - 1)^2*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A248149 A315683 A315684 * A315686 A315687 A315688
KEYWORD
nonn
AUTHOR
STATUS
approved