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 A313297 Coordination sequence Gal.6.210.1 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, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 62, 66, 70, 75, 81, 87, 93, 99, 105, 111, 117, 123, 128, 132, 136, 141, 147, 153, 159, 165, 171, 177, 183, 189, 194, 198, 202, 207, 213, 219, 225, 231, 237, 243, 249, 255, 260, 264, 268 (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 22 2021: (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) for n > 10. G.f.: (x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)/((x - 1)^2*(x^2 + 1)*(x^2 - x + 1)*(x^4 - x^2 + 1)). (End) CROSSREFS Sequence in context: A313294 A313295 A313296 * A270545 A359626 A358243 Adjacent sequences: A313294 A313295 A313296 * A313298 A313299 A313300 KEYWORD nonn AUTHOR Brian Galebach and N. J. A. Sloane, Jun 18 2018 STATUS approved

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)