A315669 Coordination sequence Gal.5.113.5 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, 6, 12, 17, 21, 25, 29, 34, 40, 46, 52, 58, 63, 67, 71, 75, 80, 86, 92, 98, 104, 109, 113, 117, 121, 126, 132, 138, 144, 150, 155, 159, 163, 167, 172, 178, 184, 190, 196, 201, 205, 209, 213, 218, 224, 230, 236, 242, 247, 251

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 14 2023: (Start)

a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A315666 A315667 A315668 * A315670 A315671 A315672

Adjacent sequences: A315666 A315667 A315668 * A315670 A315671 A315672

Keyword

nonn

Author

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

Status

approved