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A312943
Coordination sequence Gal.4.41.2 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, 4, 9, 13, 18, 23, 27, 32, 36, 40, 45, 49, 54, 59, 63, 68, 72, 76, 81, 85, 90, 95, 99, 104, 108, 112, 117, 121, 126, 131, 135, 140, 144, 148, 153, 157, 162, 167, 171, 176, 180, 184, 189, 193, 198, 203, 207, 212, 216, 220
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, Feb 14 2020: (Start)
a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) for n > 6.
G.f.: (x^6 + 2*x^5 + 2*x^4 - x^3 + 2*x^2 + 2*x + 1)/((x - 1)^2*(x^4 + 1)). (End)
CROSSREFS
Sequence in context: A312940 A312941 A312942 * A276855 A312944 A312945
KEYWORD
nonn
AUTHOR
STATUS
approved