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A313837
Coordination sequence Gal.6.618.2 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, 16, 20, 26, 31, 36, 42, 46, 52, 57, 62, 67, 72, 78, 82, 88, 93, 98, 104, 108, 114, 119, 124, 129, 134, 140, 144, 150, 155, 160, 166, 170, 176, 181, 186, 191, 196, 202, 206, 212, 217, 222, 228, 232, 238, 243, 248, 253
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) = a(n-1) + a(n-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 4*x^9 + 5*x^8 + 5*x^7 + x^5 + 5*x^3 + 5*x^2 + 4*x + 1)/(x^10 - x^9 - x^7 + x^6 + x^4 - x^3 - x + 1). (End)
CROSSREFS
Sequence in context: A313834 A313835 A313836 * A313838 A313839 A313840
KEYWORD
nonn
AUTHOR
STATUS
approved