A310648 Coordination sequence Gal.5.253.2 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, 6, 14, 20, 20, 28, 28, 36, 42, 42, 50, 50, 58, 64, 64, 72, 72, 80, 86, 86, 94, 94, 102, 108, 108, 116, 116, 124, 130, 130, 138, 138, 146, 152, 152, 160, 160, 168, 174, 174, 182, 182, 190, 196, 196, 204, 204, 212, 218

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 24 2019: (Start)

a(n) = a(n-1) + a(n-5) - a(n-6) for n > 7.

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

Crossrefs

Sequence in context: A310647 A157616 A029647 * A310649 A310650 A310651

Adjacent sequences: A310645 A310646 A310647 * A310649 A310650 A310651

Keyword

nonn

Author

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

Status

approved