login
A315368
Coordination sequence Gal.6.46.6 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, 13, 17, 19, 23, 25, 36, 42, 48, 47, 49, 53, 55, 59, 61, 78, 84, 90, 83, 85, 89, 91, 95, 97, 120, 126, 132, 119, 121, 125, 127, 131, 133, 162, 168, 174, 155, 157, 161, 163, 167, 169, 204, 210, 216, 191, 193, 197
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, May 01 2024: (Start)
a(n) = a(n-1) - a(n-3) + a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) + a(n-12) - a(n-13) + a(n-15) - a(n-16) for n > 16.
G.f.: (x^16 + 5*x^15 + 5*x^14 + 3*x^13 + 9*x^12 + 7*x^11 + 7*x^10 + 11*x^9 + 18*x^8 + 11*x^7 + 7*x^6 + 7*x^5 + 9*x^4 + 3*x^3 + 5*x^2 + 5*x + 1)/((x - 1)^2*(x^2 + x + 1)*(x^6 + x^3 + 1)^2). (End)
CROSSREFS
Sequence in context: A315367 A046953 A121765 * A315369 A350675 A102974
KEYWORD
nonn
AUTHOR
STATUS
approved