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A313962
Coordination sequence Gal.3.53.2 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, 5, 10, 17, 21, 27, 31, 38, 43, 48, 53, 58, 65, 69, 75, 79, 86, 91, 96, 101, 106, 113, 117, 123, 127, 134, 139, 144, 149, 154, 161, 165, 171, 175, 182, 187, 192, 197, 202, 209, 213, 219, 223, 230, 235, 240, 245, 250, 257, 261
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, Feb 02 2023: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-3) + 2*a(n-4) - a(n-5) - a(n-6) + 2*a(n-7) - a(n-8) for n > 8.
G.f.: (x^2 + 1)*(x^6 + 3*x^5 + 3*x + 1)/((x - 1)^2*(x^6 + x^3 + 1)). (End)
CROSSREFS
Sequence in context: A313959 A313960 A313961 * A313963 A313964 A313965
KEYWORD
nonn
AUTHOR
STATUS
approved