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A312210 Coordination sequence Gal.6.159.1 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, 13, 19, 25, 31, 37, 43, 49, 54, 58, 62, 66, 70, 75, 81, 87, 93, 99, 105, 111, 116, 120, 124, 128, 132, 137, 143, 149, 155, 161, 167, 173, 178, 182, 186, 190, 194, 199, 205, 211, 217, 223, 229, 235, 240, 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, Aug 01 2021: (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) - 2*a(n-10) + 2*a(n-11) - a(n-12) for n > 12.

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

CROSSREFS

Sequence in context: A312207 A312208 A312209 * A312211 A034856 A183865

Adjacent sequences: A312207 A312208 A312209 * A312211 A312212 A312213

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified February 2 12:48 EST 2023. Contains 360021 sequences. (Running on oeis4.)