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A313793
Coordination sequence Gal.4.134.1 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, 27, 32, 37, 42, 47, 52, 57, 63, 69, 74, 79, 84, 89, 94, 99, 105, 111, 116, 121, 126, 131, 136, 141, 147, 153, 158, 163, 168, 173, 178, 183, 189, 195, 200, 205, 210, 215, 220, 225, 231, 237, 242, 247, 252, 257
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, Apr 06 2021: (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) - a(n-8) for n > 8.
G.f.: (x^8 + 3*x^7 + 2*x^6 + 3*x^5 + 3*x^4 + 3*x^3 + 2*x^2 + 3*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A313790 A313791 A313792 * A313794 A313795 A313796
KEYWORD
nonn
AUTHOR
STATUS
approved