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A310007 Coordination sequence Gal.4.31.1 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, 4, 7, 12, 18, 19, 17, 18, 23, 27, 32, 40, 43, 40, 37, 38, 43, 48, 57, 68, 68, 61, 57, 58, 63, 69, 82, 96, 93, 82, 77, 78, 83, 90, 107, 124, 118, 103, 97, 98, 103, 111, 132, 152, 143, 124, 117, 118, 123 (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, Dec 10 2018: (Start)

a(n) = 2*a(n-1) - 3*a(n-2) + 4*a(n-3) - 5*a(n-4) + 6*a(n-5) - 7*a(n-6) + 8*a(n-7) - 7*a(n-8) + 6*a(n-9) - 5*a(n-10) + 4*a(n-11) - 3*a(n-12) + 2*a(n-13) - a(n-14) for n > 16.

G.f.: (-2*x^16 + 4*x^15 - 3*x^14 + 5*x^13 - 5*x^12 + 12*x^11 - 3*x^10 + 12*x^9 - 2*x^8 + 9*x^7 + 8*x^5 + 3*x^4 + 4*x^3 + x^2 + x + 1)/((x - 1)^2*(x^2 + 1)^2*(x^4 + 1)^2). (End)

CROSSREFS

Sequence in context: A256726 A130324 A020677 * A158237 A117950 A025047

Adjacent sequences:  A310004 A310005 A310006 * A310008 A310009 A310010

KEYWORD

nonn

AUTHOR

Brian Galebach and N. J. A. Sloane, Jun 18 2018

STATUS

approved

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Last modified September 27 07:28 EDT 2021. Contains 347673 sequences. (Running on oeis4.)