A313747 Coordination sequence Gal.6.200.3 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, 5, 10, 15, 20, 26, 31, 36, 42, 47, 52, 57, 62, 67, 72, 77, 82, 88, 93, 98, 104, 109, 114, 119, 124, 129, 134, 139, 144, 150, 155, 160, 166, 171, 176, 181, 186, 191, 196, 201, 206, 212, 217, 222, 228, 233, 238, 243, 248, 253

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, Oct 20 2023: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A028435 A313746 A001962 * A313748 A313749 A313750

Adjacent sequences: A313744 A313745 A313746 * A313748 A313749 A313750

Keyword

nonn

Author

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

Status

approved