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A310784 Coordination sequence Gal.6.72.3 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, 7, 12, 17, 18, 30, 26, 36, 39, 39, 52, 47, 58, 58, 64, 70, 70, 79, 79, 86, 91, 92, 98, 104, 104, 114, 113, 119, 126, 125, 136, 132, 144, 144, 148, 157, 153, 166, 165, 170, 176, 178, 184, 188, 191, 197, 200, 205, 210 (list; graph; refs; listen; history; text; internal format)
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.
LINKS
FORMULA
Conjectures from Chai Wah Wu, Aug 05 2022: (Start)
a(n) = a(n-5) + a(n-9) - a(n-14) for n > 18.
G.f.: (-x^18 - x^17 - x^16 - x^15 + 2*x^14 + 5*x^13 + 9*x^12 + 15*x^11 + 17*x^10 + 21*x^9 + 24*x^8 + 19*x^7 + 26*x^6 + 17*x^5 + 17*x^4 + 12*x^3 + 7*x^2 + 4*x + 1)/(x^14 - x^9 - x^5 + 1). (End)
CROSSREFS
Sequence in context: A005005 A227589 A310783 * A310785 A310786 A190460
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)