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A310668 Coordination sequence Gal.4.30.2 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, 6, 9, 12, 16, 20, 22, 27, 31, 30, 35, 40, 44, 47, 45, 51, 59, 60, 60, 63, 70, 73, 75, 78, 80, 86, 88, 91, 97, 96, 99, 106, 110, 111, 111, 117, 123, 126, 126, 127, 136, 139, 139, 144, 146, 150, 154, 157, 161 (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-2) + a(n-3) + 2*a(n-5) + a(n-7) - a(n-8) - a(n-10) for n > 12.

G.f.: (-3*x^12 + x^10 + 7*x^9 + 10*x^8 + 13*x^7 + 15*x^6 + 17*x^5 + 14*x^4 + 12*x^3 + 7*x^2 + 4*x + 1)/(x^10 + x^8 - x^7 - 2*x^5 - x^3 + x^2 + 1). (End)

CROSSREFS

Sequence in context: A298864 A310667 A317538 * A185595 A310669 A310670

Adjacent sequences:  A310665 A310666 A310667 * A310669 A310670 A310671

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 24 03:15 EDT 2021. Contains 347623 sequences. (Running on oeis4.)