login
A313940
Coordination sequence Gal.4.138.2 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, 23, 29, 34, 38, 45, 52, 57, 60, 64, 73, 81, 86, 88, 93, 102, 109, 112, 114, 121, 131, 138, 140, 143, 150, 159, 164, 166, 171, 179, 188, 192, 195, 200, 207, 214, 218, 223, 229, 236, 242, 247, 252, 257, 262, 268, 275
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 19 2024: (Start)
a(n) = a(n-1) - a(n-3) + a(n-4) + a(n-5) - 2*a(n-6) + a(n-7) + a(n-8) - a(n-9) + a(n-11) - a(n-12) for n > 12.
G.f.: (x + 1)^2*(x^10 + 2*x^9 + 5*x^7 + x^6 + 3*x^5 + x^4 + 5*x^3 + 2*x + 1)/((x - 1)^2*(x^6 + x^3 + 1)*(x^4 + x^3 + x^2 + x + 1)). (End)
CROSSREFS
Sequence in context: A313937 A313938 A313939 * A212455 A052905 A365701
KEYWORD
nonn
AUTHOR
STATUS
approved