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A313295
Coordination sequence Gal.5.90.1 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, 4, 9, 15, 21, 27, 33, 39, 45, 50, 54, 58, 63, 69, 75, 81, 87, 93, 99, 104, 108, 112, 117, 123, 129, 135, 141, 147, 153, 158, 162, 166, 171, 177, 183, 189, 195, 201, 207, 212, 216, 220, 225, 231, 237, 243, 249, 255, 261, 266
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, Aug 30 2024: (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) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^2 + x + 1)^2*(x^6 + x^3 + 1)/((x - 1)^2*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)
CROSSREFS
Sequence in context: A313292 A313293 A313294 * A313296 A313297 A270545
KEYWORD
nonn
AUTHOR
STATUS
approved