A314140 Coordination sequence Gal.6.633.4 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, 11, 16, 22, 26, 32, 36, 42, 47, 53, 58, 63, 69, 74, 80, 84, 90, 94, 100, 105, 111, 116, 121, 127, 132, 138, 142, 148, 152, 158, 163, 169, 174, 179, 185, 190, 196, 200, 206, 210, 216, 221, 227, 232, 237, 243, 248, 254, 258

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, May 15 2026: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

G.f.: (x^12 + 4*x^11 + 6*x^10 + 5*x^9 + 6*x^8 + 4*x^7 + 6*x^6 + 4*x^5 + 6*x^4 + 5*x^3 + 6*x^2 + 4*x + 1)/(x^12 - x^11 - x + 1). (End)

Crossrefs

Sequence in context: A314138 A314139 A278397 * A314141 A314142 A314143

Adjacent sequences: A314137 A314138 A314139 * A314141 A314142 A314143

Keyword

nonn

Author

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

Status

approved