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A310050
Coordination sequence Gal.4.36.1 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, 10, 13, 16, 19, 20, 26, 35, 34, 31, 34, 46, 51, 46, 49, 56, 62, 61, 62, 69, 72, 76, 79, 82, 83, 84, 92, 99, 100, 97, 100, 110, 115, 112, 113, 122, 128, 127, 126, 133, 138, 140, 145, 148, 149, 148, 156, 165
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 24 2019: (Start)
a(n) = - a(n-2) + a(n-5) + 2*a(n-7) + a(n-9) - a(n-12) - a(n-14) for n > 16.
G.f.: (-2*x^16 + x^14 + 3*x^13 + 7*x^12 + 15*x^11 + 21*x^10 + 29*x^9 + 29*x^8 + 28*x^7 + 29*x^6 + 25*x^5 + 19*x^4 + 13*x^3 + 7*x^2 + 3*x + 1)/(x^14 + x^12 - x^9 - 2*x^7 - x^5 + x^2 + 1). (End)
CROSSREFS
Sequence in context: A099822 A117549 A190767 * A356469 A028433 A310051
KEYWORD
nonn
AUTHOR
STATUS
approved