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A310039 Coordination sequence Gal.3.7.1 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, 5, 9, 12, 15, 17, 19, 24, 29, 31, 33, 36, 39, 41, 45, 50, 51, 51, 55, 62, 65, 65, 69, 74, 75, 75, 81, 88, 87, 85, 91, 100, 101, 99, 105, 112, 111, 109, 117, 126, 123, 119, 127, 138, 137, 133, 141, 150, 147 (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 24 2019: (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 > 14.

G.f.: (-2*x^14 + 6*x^13 - 7*x^12 + 6*x^11 - x^10 + x^9 + x^8 + 4*x^7 - 4*x^6 + 6*x^5 - 3*x^4 + 3*x^3 + x^2 + 1)/((x - 1)^2*(x^2 + 1)^2*(x^2 - x + 1)*(x^4 - x^2 + 1)). (End)

CROSSREFS

Sequence in context: A120806 A020946 A304525 * A091785 A191403 A233779

Adjacent sequences:  A310036 A310037 A310038 * A310040 A310041 A310042

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 17 21:46 EDT 2021. Contains 347489 sequences. (Running on oeis4.)