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A310516 Coordination sequence Gal.6.599.1 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, 10, 16, 22, 24, 32, 38, 42, 46, 54, 56, 66, 64, 76, 78, 86, 86, 98, 96, 110, 104, 120, 118, 130, 126, 142, 136, 154, 144, 164, 158, 174, 166, 186, 176, 198, 184, 208, 198, 218, 206, 230, 216, 242, 224, 252, 238, 262, 246 (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 24 2020: (Start)

a(n) = a(n-2) + a(n-8) - a(n-10) for n > 11.

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

CROSSREFS

Sequence in context: A043385 A277570 A310515 * A291745 A176262 A310517

Adjacent sequences:  A310513 A310514 A310515 * A310517 A310518 A310519

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 9 00:15 EDT 2022. Contains 356016 sequences. (Running on oeis4.)