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A311042 Coordination sequence Gal.4.11.4 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, 11, 14, 19, 23, 27, 31, 33, 36, 42, 46, 50, 54, 55, 58, 65, 69, 73, 77, 77, 80, 88, 92, 96, 100, 99, 102, 111, 115, 119, 123, 121, 124, 134, 138, 142, 146, 143, 146, 157, 161, 165, 169, 165, 168, 180, 184, 188 (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-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) + a(n-6) - a(n-7) + a(n-8) - a(n-9) + a(n-10) - a(n-11) for n > 11.

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

CROSSREFS

Sequence in context: A303750 A160592 A311041 * A311043 A311044 A311045

Adjacent sequences: A311039 A311040 A311041 * A311043 A311044 A311045

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified December 3 18:25 EST 2022. Contains 358539 sequences. (Running on oeis4.)