A314324 Coordination sequence Gal.5.252.3 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, 5, 7, 13, 17, 26, 25, 34, 37, 48, 43, 56, 57, 70, 59, 78, 75, 92, 75, 100, 93, 114, 91, 122, 111, 136, 107, 144, 129, 158, 123, 166, 147, 180, 139, 188, 165, 202, 155, 210, 183, 224, 171, 232, 201, 246, 187, 254, 219, 268

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, Apr 13 2024: (Start)

a(n) = 2*a(n-4) - a(n-8) for n > 16.

G.f.: (-2*x^16 - 2*x^14 + x^11 + x^9 + 4*x^8 + 8*x^7 + 11*x^6 + 16*x^5 + 15*x^4 + 13*x^3 + 7*x^2 + 5*x + 1)/(x^8 - 2*x^4 + 1). (End)

Crossrefs

Sequence in context: A288449 A178218 A314323 * A247011 A172480 A285886

Adjacent sequences: A314321 A314322 A314323 * A314325 A314326 A314327

Keyword

nonn

Author

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

Status

approved