login
A315749
Coordination sequence Gal.5.295.4 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, 12, 18, 23, 29, 35, 40, 46, 52, 58, 64, 70, 76, 81, 87, 93, 98, 104, 110, 116, 122, 128, 134, 139, 145, 151, 156, 162, 168, 174, 180, 186, 192, 197, 203, 209, 214, 220, 226, 232, 238, 244, 250, 255, 261, 267, 272, 278, 284
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, Jun 06 2024: (Start)
a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.
G.f.: (x^10 + 4*x^9 + 2*x^8 + 4*x^7 + x^6 + 5*x^5 + x^4 + 4*x^3 + 2*x^2 + 4*x + 1)/((x - 1)^2*(x^4 - x^3 + x^2 - x + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)
CROSSREFS
Sequence in context: A315746 A315747 A315748 * A315750 A315751 A299909
KEYWORD
nonn
AUTHOR
STATUS
approved