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A314829
Coordination sequence Gal.4.41.3 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, 5, 9, 14, 18, 22, 27, 31, 36, 41, 45, 50, 54, 58, 63, 67, 72, 77, 81, 86, 90, 94, 99, 103, 108, 113, 117, 122, 126, 130, 135, 139, 144, 149, 153, 158, 162, 166, 171, 175, 180, 185, 189, 194, 198, 202, 207, 211, 216, 221
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, Jun 08 2022: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.
G.f.: (x^6 + 3*x^5 + x^3 + 3*x + 1)/((x - 1)^2*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A314827 A314828 A299405 * A287243 A314830 A314831
KEYWORD
nonn
AUTHOR
STATUS
approved