A312941 Coordination sequence Gal.5.14.2 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, 9, 13, 18, 23, 27, 31, 36, 40, 45, 50, 54, 58, 63, 67, 72, 77, 81, 85, 90, 94, 99, 104, 108, 112, 117, 121, 126, 131, 135, 139, 144, 148, 153, 158, 162, 166, 171, 175, 180, 185, 189, 193, 198, 202, 207, 212, 216, 220

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, Feb 14 2020: (Start)

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

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

Crossrefs

Sequence in context: A312938 A312939 A312940 * A312942 A312943 A276855

Adjacent sequences: A312938 A312939 A312940 * A312942 A312943 A312944

Keyword

nonn

Author

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

Status

approved