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A310511 Coordination sequence Gal.6.354.1 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, 21, 26, 31, 36, 41, 46, 52, 58, 62, 66, 72, 78, 83, 88, 93, 98, 103, 108, 114, 120, 124, 128, 134, 140, 145, 150, 155, 160, 165, 170, 176, 182, 186, 190, 196, 202, 207, 212, 217, 222, 227, 232, 238, 244, 248, 252 (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) = 2*a(n-1) - 3*a(n-2) + 4*a(n-3) - 4*a(n-4) + 4*a(n-5) - 3*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

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

CROSSREFS

Sequence in context: A310508 A310509 A310510 * A310512 A310513 A081260

Adjacent sequences:  A310508 A310509 A310510 * A310512 A310513 A310514

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)