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A310683 Coordination sequence Gal.4.15.3 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, 4, 7, 10, 13, 16, 22, 26, 27, 30, 33, 36, 44, 48, 47, 50, 53, 56, 66, 70, 67, 70, 73, 76, 88, 92, 87, 90, 93, 96, 110, 114, 107, 110, 113, 116, 132, 136, 127, 130, 133, 136, 154, 158, 147, 150, 153, 156, 176, 180 (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) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) + a(n-6) - a(n-7) + a(n-8) - a(n-9) + a(n-10) - a(n-11) for n > 11.

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

CROSSREFS

Sequence in context: A090852 A182112 A090955 * A134027 A143455 A310684

Adjacent sequences:  A310680 A310681 A310682 * A310684 A310685 A310686

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified March 5 15:22 EST 2021. Contains 341825 sequences. (Running on oeis4.)