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A313764
Coordination sequence Gal.3.61.1 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, 5, 10, 15, 21, 24, 32, 34, 41, 45, 52, 53, 64, 63, 72, 75, 83, 82, 96, 92, 103, 105, 114, 111, 128, 121, 134, 135, 145, 140, 160, 150, 165, 165, 176, 169, 192, 179, 196, 195, 207, 198, 224, 208, 227, 225, 238, 227, 256, 237
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, May 01 2024: (Start)
a(n) = - a(n-1) + a(n-3) + a(n-4) + a(n-6) + a(n-7) - a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 6*x^9 + 15*x^8 + 24*x^7 + 30*x^6 + 30*x^5 + 30*x^4 + 24*x^3 + 15*x^2 + 6*x + 1)/(x^10 + x^9 - x^7 - x^6 - x^4 - x^3 + x + 1). (End)
CROSSREFS
Sequence in context: A115182 A313762 A313763 * A313765 A313766 A313767
KEYWORD
nonn
AUTHOR
STATUS
approved