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 A313896 Coordination sequence Gal.6.364.4 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, 5, 10, 16, 21, 27, 33, 37, 42, 48, 54, 59, 63, 69, 75, 80, 86, 91, 96, 101, 106, 112, 117, 123, 129, 133, 138, 144, 150, 155, 159, 165, 171, 176, 182, 187, 192, 197, 202, 208, 213, 219, 225, 229, 234, 240, 246, 251, 255, 261 (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 Table of n, a(n) for n=0..49. Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers FORMULA Conjectures from Chai Wah Wu, Jan 12 2023: (Start) a(n) = 3*a(n-1) - 4*a(n-2) + 3*a(n-3) - a(n-4) - a(n-6) + 3*a(n-7) - 4*a(n-8) + 3*a(n-9) - a(n-10) - a(n-12) + 3*a(n-13) - 4*a(n-14) + 3*a(n-15) - a(n-16) for n > 16. G.f.: (x^16 + 2*x^15 - x^14 + 3*x^13 - x^12 + 3*x^11 - x^10 + x^9 + 2*x^8 + x^7 - x^6 + 3*x^5 - x^4 + 3*x^3 - x^2 + 2*x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^6 - x^3 + 1)*(x^6 + x^3 + 1)). (End) CROSSREFS Sequence in context: A277645 A075003 A313895 * A313897 A313898 A313899 Adjacent sequences: A313893 A313894 A313895 * A313897 A313898 A313899 KEYWORD nonn AUTHOR Brian Galebach and N. J. A. Sloane, Jun 18 2018 STATUS approved

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Last modified August 11 10:58 EDT 2024. Contains 375068 sequences. (Running on oeis4.)