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 A314461 Coordination sequence Gal.6.568.2 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, 8, 13, 20, 24, 26, 32, 40, 42, 46, 54, 57, 58, 65, 74, 75, 79, 88, 90, 90, 98, 108, 108, 112, 122, 123, 122, 131, 142, 141, 145, 156, 156, 154, 164, 176, 174, 178, 190, 189, 186, 197, 210, 207, 211, 224, 222, 218, 230 (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 From Chai Wah Wu, Dec 20 2019: (Start) a(n) = 2*a(n-7) - a(n-14) for n > 16 (conjectured). G.f.: (-x^16 - x^15 + 2*x^14 + 6*x^13 + 9*x^12 + 14*x^11 + 20*x^10 + 26*x^9 + 30*x^8 + 30*x^7 + 26*x^6 + 24*x^5 + 20*x^4 + 13*x^3 + 8*x^2 + 5*x + 1)/(x^14 - 2*x^7 + 1) (conjectured). (End) CROSSREFS Sequence in context: A314458 A314459 A314460 * A097404 A020687 A035423 Adjacent sequences: A314458 A314459 A314460 * A314462 A314463 A314464 KEYWORD nonn AUTHOR Brian Galebach and N. J. A. Sloane, Jun 18 2018 STATUS approved

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Last modified September 15 22:11 EDT 2024. Contains 375959 sequences. (Running on oeis4.)