A310068 Coordination sequence Gal.4.25.1 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, 3, 6, 10, 14, 19, 23, 26, 29, 31, 35, 39, 43, 48, 51, 55, 58, 60, 64, 67, 72, 77, 80, 84, 86, 89, 93, 96, 101, 105, 109, 113, 115, 118, 121, 125, 130, 134, 138, 141, 144, 147, 150, 154, 158, 163, 167, 170, 173, 175

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) = a(n-1) - a(n-4) + 2*a(n-5) - a(n-6) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A310065 A310066 A310067 * A259646 A310069 A310070

Adjacent sequences: A310065 A310066 A310067 * A310069 A310070 A310071

Keyword

nonn

Author

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

Status

approved