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A312822 Coordination sequence Gal.6.577.1 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, 4, 8, 16, 22, 28, 34, 34, 42, 42, 52, 60, 66, 72, 78, 70, 86, 78, 96, 104, 110, 116, 122, 106, 130, 114, 140, 148, 154, 160, 166, 142, 174, 150, 184, 192, 198, 204, 210, 178, 218, 186, 228, 236, 242, 248, 254, 214, 262, 222 (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, Jan 21 2021: (Start)

a(n) = 2*a(n-2) - 3*a(n-4) + 4*a(n-6) - 3*a(n-8) + 2*a(n-10) - a(n-12) for n > 13.

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

CROSSREFS

Sequence in context: A312819 A312820 A312821 * A340298 A053688 A036302

Adjacent sequences:  A312819 A312820 A312821 * A312823 A312824 A312825

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 20 23:04 EDT 2021. Contains 347596 sequences. (Running on oeis4.)