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 A310027 Coordination sequence Gal.5.41.2 where G.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, 5, 8, 11, 14, 18, 21, 23, 25, 28, 32, 34, 35, 39, 44, 47, 48, 50, 55, 58, 58, 61, 66, 69, 71, 74, 78, 80, 81, 85, 89, 90, 92, 97, 102, 103, 103, 108, 113, 113, 114, 119, 124, 126, 127, 131, 135, 136, 138 (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 Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers FORMULA Conjectures from Chai Wah Wu, Dec 10 2018: (Start) a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-19) - a(n-20) + a(n-21) - a(n-22) for n > 22. G.f.: (x + 1)^2*(x^2 - x + 1)^2*(x^2 + x + 1)*(x^14 + x^13 + x^12 + x^11 - x^10 + x^8 + x^7 + x^6 - x^4 + x^3 + x^2 + x + 1)/(x^22 - x^21 + x^20 - x^19 - x^3 + x^2 - x + 1). (End) CROSSREFS Sequence in context: A278586 A001855 A006591 * A310028 A287414 A052488 Adjacent sequences:  A310024 A310025 A310026 * A310028 A310029 A310030 KEYWORD nonn AUTHOR Brian Galebach and N. J. A. Sloane, Jun 18 2018 STATUS approved

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Last modified January 22 21:51 EST 2019. Contains 319365 sequences. (Running on oeis4.)