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A310117
Coordination sequence Gal.5.20.1 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, 3, 6, 11, 18, 21, 23, 26, 29, 32, 39, 48, 49, 49, 52, 55, 58, 67, 78, 77, 75, 78, 81, 84, 95, 108, 105, 101, 104, 107, 110, 123, 138, 133, 127, 130, 133, 136, 151, 168, 161, 153, 156, 159, 162, 179, 198, 189, 179, 182
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, Dec 10 2018: (Start)
a(n) = 2*a(n-7) - a(n-14) for n > 14.
G.f.: (x^14 + 3*x^13 + 7*x^12 + 12*x^11 + 17*x^10 + 20*x^9 + 23*x^8 + 24*x^7 + 23*x^6 + 21*x^5 + 18*x^4 + 11*x^3 + 6*x^2 + 3*x + 1)/(x^14 - 2*x^7 + 1). (End)
CROSSREFS
Sequence in context: A335631 A013932 A302550 * A161864 A351066 A310118
KEYWORD
nonn
AUTHOR
STATUS
approved