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A310532 Coordination sequence Gal.6.333.1 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, 10, 16, 22, 28, 34, 40, 46, 52, 56, 60, 66, 72, 78, 84, 90, 96, 102, 108, 112, 116, 122, 128, 134, 140, 146, 152, 158, 164, 168, 172, 178, 184, 190, 196, 202, 208, 214, 220, 224, 228, 234, 240, 246, 252, 258, 264, 270, 276 (list; graph; refs; listen; history; text; internal format)
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.
LINKS
FORMULA
Conjectures from Chai Wah Wu, Jan 24 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) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 2*x^9 + 4*x^8 + 2*x^7 + 4*x^6 + 2*x^5 + 4*x^4 + 2*x^3 + 4*x^2 + 2*x + 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: A310529 A310530 A310531 * A189932 A310533 A269960
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)