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A310100
Coordination sequence Gal.5.19.1 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, 3, 6, 11, 15, 19, 23, 25, 28, 31, 34, 41, 45, 49, 53, 53, 56, 59, 62, 71, 75, 79, 83, 81, 84, 87, 90, 101, 105, 109, 113, 109, 112, 115, 118, 131, 135, 139, 143, 137, 140, 143, 146, 161, 165, 169, 173, 165, 168, 171
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.
Conjectures from Colin Barker, Apr 18 2020: (Start)
G.f.: (1 + 2*x + 3*x^2 + 5*x^3 + 5*x^4 + 6*x^5 + 7*x^6 + 7*x^7 + 6*x^8 + 5*x^9 + 4*x^10 + 4*x^11 + 2*x^12 + x^13) / ((1 - x)^2*(1 + x)*(1 + x^2)*(1 + x^4)^2).
a(n) = a(n-1) - a(n-4) + a(n-5) + a(n-8) - a(n-9) + a(n-12) - a(n-13) for n>13.
(End)
CROSSREFS
Sequence in context: A187896 A225521 A067278 * A234011 A368384 A113960
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by Georg Fischer, Apr 17 2020
STATUS
approved