A311647 Coordination sequence Gal.4.85.1 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, 19, 22, 25, 32, 35, 39, 45, 48, 52, 58, 62, 65, 71, 75, 78, 85, 88, 91, 98, 101, 105, 111, 114, 118, 124, 128, 131, 137, 141, 144, 151, 154, 157, 164, 167, 171, 177, 180, 184, 190, 194, 197, 203, 207, 210, 217

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, Mar 09 2023: (Start)

a(n) = a(n-3) + a(n-5) - a(n-8) for n > 10.

G.f.: (-x^10 - x^9 + 2*x^8 + 5*x^7 + 9*x^6 + 13*x^5 + 15*x^4 + 11*x^3 + 8*x^2 + 4*x + 1)/(x^8 - x^5 - x^3 + 1). (End)

Crossrefs

Sequence in context: A311644 A311645 A311646 * A045750 A187571 A287402

Adjacent sequences: A311644 A311645 A311646 * A311648 A311649 A311650

Keyword

nonn

Author

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

Status

approved