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A310504
Coordination sequence Gal.6.329.1 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, 4, 10, 16, 20, 26, 32, 36, 42, 48, 52, 56, 62, 68, 72, 78, 84, 88, 94, 100, 104, 108, 114, 120, 124, 130, 136, 140, 146, 152, 156, 160, 166, 172, 176, 182, 188, 192, 198, 204, 208, 212, 218, 224, 228, 234, 240, 244, 250, 256
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, Jan 24 2020: (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 + 2*x^9 + 4*x^8 + 2*x^7 + 2*x^6 + 4*x^5 + 2*x^4 + 2*x^3 + 4*x^2 + 2*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: A310501 A310502 A310503 * A310505 A215248 A310506
KEYWORD
nonn
AUTHOR
STATUS
approved