A314994 Coordination sequence Gal.6.547.4 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, 9, 15, 16, 24, 27, 34, 37, 44, 44, 52, 55, 62, 65, 72, 72, 80, 83, 90, 93, 100, 100, 108, 111, 118, 121, 128, 128, 136, 139, 146, 149, 156, 156, 164, 167, 174, 177, 184, 184, 192, 195, 202, 205, 212, 212, 220, 223, 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

Conjectures from Chai Wah Wu, Jan 27 2020: (Start)

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

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

Crossrefs

Sequence in context: A228218 A361993 A314993 * A106503 A267648 A160593

Adjacent sequences: A314991 A314992 A314993 * A314995 A314996 A314997

Keyword

nonn

Author

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

Status

approved