A314461 Coordination sequence Gal.6.568.2 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, 5, 8, 13, 20, 24, 26, 32, 40, 42, 46, 54, 57, 58, 65, 74, 75, 79, 88, 90, 90, 98, 108, 108, 112, 122, 123, 122, 131, 142, 141, 145, 156, 156, 154, 164, 176, 174, 178, 190, 189, 186, 197, 210, 207, 211, 224, 222, 218, 230

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

From Chai Wah Wu, Dec 20 2019: (Start)

a(n) = 2*a(n-7) - a(n-14) for n > 16 (conjectured).

G.f.: (-x^16 - x^15 + 2*x^14 + 6*x^13 + 9*x^12 + 14*x^11 + 20*x^10 + 26*x^9 + 30*x^8 + 30*x^7 + 26*x^6 + 24*x^5 + 20*x^4 + 13*x^3 + 8*x^2 + 5*x + 1)/(x^14 - 2*x^7 + 1) (conjectured). (End)

Crossrefs

Sequence in context: A314458 A314459 A314460 * A097404 A020687 A035423

Adjacent sequences: A314458 A314459 A314460 * A314462 A314463 A314464

Keyword

nonn

Author

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

Status

approved