A315477 Coordination sequence Gal.5.293.3 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, 6, 11, 16, 21, 27, 33, 38, 43, 48, 54, 60, 65, 70, 75, 81, 87, 92, 97, 102, 108, 114, 119, 124, 129, 135, 141, 146, 151, 156, 162, 168, 173, 178, 183, 189, 195, 200, 205, 210, 216, 222, 227, 232, 237, 243, 249, 254, 259, 264

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 Jianing Song, Jun 02 2026: (Start)

a(n) = a(n-5) + 27 for n >= 6.

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

Conjecture: a(n) ~ 27*n/5. - Stefano Spezia, Jun 02 2026

Crossrefs

Sequence in context: A315474 A315475 A315476 * A085813 A315478 A315479

Adjacent sequences: A315474 A315475 A315476 * A315478 A315479 A315480

Keyword

nonn

Author

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

Status

approved