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A315543
Coordination sequence Gal.4.137.2 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.
0
1, 6, 11, 17, 23, 29, 35, 40, 46, 52, 57, 63, 69, 75, 81, 86, 92, 98, 103, 109, 115, 121, 127, 132, 138, 144, 149, 155, 161, 167, 173, 178, 184, 190, 195, 201, 207, 213, 219, 224, 230, 236, 241, 247, 253, 259, 265, 270, 276, 282
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, Jun 11 2020: (Start)
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) - a(n-8) for n > 8.
G.f.: (x^8 + 4*x^7 + x^6 + 5*x^5 + x^4 + 5*x^3 + x^2 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A315540 A315541 A315542 * A315544 A315545 A315546
KEYWORD
nonn
AUTHOR
STATUS
approved