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 A310936 Coordination sequence Gal.3.7.3 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, 8, 8, 10, 17, 24, 28, 28, 27, 28, 32, 40, 47, 48, 46, 48, 55, 60, 62, 64, 65, 64, 66, 76, 85, 84, 80, 84, 93, 96, 96, 100, 103, 100, 100, 112, 123, 120, 114, 120, 131, 132, 130, 136, 141, 136, 134, 148 (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, Mar 11 2021: (Start) a(n) = 3*a(n-1) - 5*a(n-2) + 6*a(n-3) - 5*a(n-4) + 3*a(n-5) - 2*a(n-6) + 3*a(n-7) - 5*a(n-8) + 6*a(n-9) - 5*a(n-10) + 3*a(n-11) - a(n-12) for n > 17. G.f.: (-2*x^17 + 2*x^16 - 2*x^15 + 2*x^14 + 3*x^12 - x^11 + 2*x^10 - 3*x^9 + 4*x^8 - x^7 + 4*x^6 + x^5 + x^3 + x + 1)/((x - 1)^2*(x^2 + 1)^2*(x^2 - x + 1)*(x^4 - x^2 + 1)). (End) CROSSREFS Sequence in context: A310937 A090383 A179620 * A333202 A082390 A011517 Adjacent sequences: A310933 A310934 A310935 * A310937 A310938 A310939 KEYWORD nonn AUTHOR Brian Galebach and N. J. A. Sloane, Jun 18 2018 STATUS approved

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Last modified June 18 10:39 EDT 2024. Contains 373479 sequences. (Running on oeis4.)