A311601 - OEIS

A311601

Coordination sequence Gal.6.230.1 where Gal.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.

1, 4, 8, 12, 18, 22, 26, 32, 36, 40, 44, 48, 52, 56, 62, 66, 70, 76, 80, 84, 88, 92, 96, 100, 106, 110, 114, 120, 124, 128, 132, 136, 140, 144, 150, 154, 158, 164, 168, 172, 176, 180, 184, 188, 194, 198, 202, 208, 212, 216

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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) - 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^2 + 1)*(x^8 + 2*x^7 + x^6 + 3*x^4 + 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: A311598 A311599 A311600 * A045672 A311602 A311603

Adjacent sequences: A311598 A311599 A311600 * A311602 A311603 A311604

KEYWORD

nonn

AUTHOR

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

STATUS

approved