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A315732 Coordination sequence Gal.6.640.6 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, 6, 12, 18, 22, 28, 34, 38, 44, 50, 56, 62, 68, 74, 78, 84, 90, 94, 100, 106, 112, 118, 124, 130, 134, 140, 146, 150, 156, 162, 168, 174, 180, 186, 190, 196, 202, 206, 212, 218, 224, 230, 236, 242, 246, 252, 258, 262, 268, 274 (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, Aug 03 2020: (Start)

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

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

CROSSREFS

Sequence in context: A315729 A315730 A315731 * A315733 A315734 A141515

Adjacent sequences:  A315729 A315730 A315731 * A315733 A315734 A315735

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 26 20:57 EDT 2022. Contains 357050 sequences. (Running on oeis4.)