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A314324
Coordination sequence Gal.5.252.3 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, 7, 13, 17, 26, 25, 34, 37, 48, 43, 56, 57, 70, 59, 78, 75, 92, 75, 100, 93, 114, 91, 122, 111, 136, 107, 144, 129, 158, 123, 166, 147, 180, 139, 188, 165, 202, 155, 210, 183, 224, 171, 232, 201, 246, 187, 254, 219, 268
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 13 2024: (Start)
a(n) = 2*a(n-4) - a(n-8) for n > 16.
G.f.: (-2*x^16 - 2*x^14 + x^11 + x^9 + 4*x^8 + 8*x^7 + 11*x^6 + 16*x^5 + 15*x^4 + 13*x^3 + 7*x^2 + 5*x + 1)/(x^8 - 2*x^4 + 1). (End)
CROSSREFS
Sequence in context: A288449 A178218 A314323 * A247011 A172480 A285886
KEYWORD
nonn
AUTHOR
STATUS
approved