A315487 Coordination sequence Gal.5.214.4 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, 6, 11, 16, 22, 27, 31, 41, 45, 50, 56, 61, 66, 72, 78, 83, 88, 94, 99, 103, 113, 117, 122, 128, 133, 138, 144, 150, 155, 160, 166, 171, 175, 185, 189, 194, 200, 205, 210, 216, 222, 227, 232, 238, 243, 247, 257, 261, 266, 272

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, Apr 22 2024: (Start)

a(n) = a(n-1) + a(n-13) - a(n-14) for n > 14.

G.f.: (x^14 + 5*x^13 + 5*x^12 + 5*x^11 + 6*x^10 + 5*x^9 + 4*x^8 + 10*x^7 + 4*x^6 + 5*x^5 + 6*x^4 + 5*x^3 + 5*x^2 + 5*x + 1)/(x^14 - x^13 - x + 1). (End)

Crossrefs

Sequence in context: A140527 A315485 A315486 * A315488 A315489 A315490

Adjacent sequences: A315484 A315485 A315486 * A315488 A315489 A315490

Keyword

nonn,changed

Author

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

Status

approved