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A311007
Coordination sequence Gal.4.19.3 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, 8, 10, 16, 22, 24, 30, 34, 38, 42, 44, 52, 56, 58, 62, 66, 74, 76, 78, 84, 88, 94, 96, 100, 106, 108, 114, 118, 122, 126, 128, 136, 140, 142, 146, 150, 158, 160, 162, 168, 172, 178, 180, 184, 190, 192, 198, 202, 206
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, Dec 24 2019: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-5) - a(n-6) + a(n-7) - a(n-8) for n > 11.
G.f.: (-2*x^11 + x^8 + 7*x^7 + 5*x^6 + 7*x^5 + 10*x^4 + 5*x^3 + 5*x^2 + 3*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)
CROSSREFS
Sequence in context: A020209 A311005 A311006 * A232168 A046559 A032618
KEYWORD
nonn
AUTHOR
STATUS
approved