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A315460
Coordination sequence Gal.6.234.5 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, 6, 11, 16, 21, 25, 29, 33, 38, 43, 48, 54, 60, 65, 70, 75, 79, 83, 87, 92, 97, 102, 108, 114, 119, 124, 129, 133, 137, 141, 146, 151, 156, 162, 168, 173, 178, 183, 187, 191, 195, 200, 205, 210, 216, 222, 227, 232, 237, 241
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, Jul 27 2022: (Start)
a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.
G.f.: (x^12 + 5*x^11 + 5*x^10 + 5*x^9 + 5*x^8 + 4*x^7 + 4*x^6 + 4*x^5 + 5*x^4 + 5*x^3 + 5*x^2 + 5*x + 1)/(x^12 - x^11 - x + 1). (End)
CROSSREFS
Sequence in context: A315457 A315458 A315459 * A315461 A315462 A315463
KEYWORD
nonn
AUTHOR
STATUS
approved