A312963 Coordination sequence Gal.6.153.2 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, 9, 13, 18, 24, 29, 34, 40, 45, 49, 54, 58, 62, 67, 71, 76, 82, 87, 92, 98, 103, 107, 112, 116, 120, 125, 129, 134, 140, 145, 150, 156, 161, 165, 170, 174, 178, 183, 187, 192, 198, 203, 208, 214, 219, 223, 228, 232, 236

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 23 2019: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A184901 A312961 A312962 * A312964 A090498 A312965

Adjacent sequences: A312960 A312961 A312962 * A312964 A312965 A312966

Keyword

nonn

Author

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

Status

approved