A310089 - OEIS

A310089

Coordination sequence Gal.6.42.3 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, 3, 6, 11, 13, 16, 19, 22, 29, 29, 32, 35, 38, 47, 45, 48, 51, 54, 65, 61, 64, 67, 70, 83, 77, 80, 83, 86, 101, 93, 96, 99, 102, 119, 109, 112, 115, 118, 137, 125, 128, 131, 134, 155, 141, 144, 147, 150, 173, 157

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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, Dec 10 2018: (Start)

a(n) = 2*a(n-5) - a(n-10) for n > 10.

G.f.: (x^10 + 3*x^9 + 7*x^8 + 10*x^7 + 13*x^6 + 14*x^5 + 13*x^4 + 11*x^3 + 6*x^2 + 3*x + 1)/(x^10 - 2*x^5 + 1). (End)

CROSSREFS

Sequence in context: A342273 A310088 A073942 * A310090 A316096 A310091

Adjacent sequences: A310086 A310087 A310088 * A310090 A310091 A310092

KEYWORD

nonn

AUTHOR

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

STATUS

approved