A311075 Coordination sequence Gal.6.72.4 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, 4, 8, 11, 18, 19, 27, 29, 33, 38, 43, 47, 50, 55, 59, 64, 68, 72, 75, 83, 84, 89, 94, 96, 104, 105, 111, 114, 120, 124, 126, 133, 135, 141, 145, 148, 153, 159, 161, 166, 170, 174, 180, 182, 188, 190, 198, 200, 203, 210

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-5) + a(n-9) - a(n-14) for n > 15.

G.f.: (-2*x^15 + 3*x^14 + 4*x^13 + 10*x^12 + 12*x^11 + 20*x^10 + 19*x^9 + 22*x^8 + 21*x^7 + 23*x^6 + 18*x^5 + 18*x^4 + 11*x^3 + 8*x^2 + 4*x + 1)/(x^14 - x^9 - x^5 + 1). (End)

Crossrefs

Sequence in context: A104655 A309192 A046898 * A311076 A171070 A214970

Adjacent sequences: A311072 A311073 A311074 * A311076 A311077 A311078

Keyword

nonn

Author

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

Status

approved