A315907 Coordination sequence Gal.3.40.3 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, 8, 14, 20, 22, 28, 34, 36, 42, 48, 50, 56, 62, 64, 70, 76, 78, 84, 90, 92, 98, 104, 106, 112, 118, 120, 126, 132, 134, 140, 146, 148, 154, 160, 162, 168, 174, 176, 182, 188, 190, 196, 202, 204, 210, 216, 218, 224, 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 R. J. Mathar, May 02 2023: (Start)

G.f.: 1 + 2*x*(3+x+3*x^2) / ( (1+x+x^2)*(x-1)^2 ).

a(n) = a(n-1) + a(n-3) - a(n-4) for n > 4.

a(n) = 2*A047342(n+1) for n > 0. (End)

Crossrefs

Cf. A047342.

Sequence in context: A315905 A101084 A315906 * A315908 A315909 A315910

Adjacent sequences: A315904 A315905 A315906 * A315908 A315909 A315910

Keyword

nonn

Author

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

Status

approved