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A313025 Coordination sequence Gal.5.65.5 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, 9, 14, 18, 22, 26, 30, 35, 40, 44, 48, 53, 58, 62, 66, 70, 74, 79, 84, 88, 92, 97, 102, 106, 110, 114, 118, 123, 128, 132, 136, 141, 146, 150, 154, 158, 162, 167, 172, 176, 180, 185, 190, 194, 198, 202, 206, 211, 216 (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 10 2020: (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) - a(n-10) for n > 10.

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

CROSSREFS

Sequence in context: A141089 A313023 A313024 * A313026 A313027 A313028

Adjacent sequences:  A313022 A313023 A313024 * A313026 A313027 A313028

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 21 05:52 EST 2021. Contains 340333 sequences. (Running on oeis4.)