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A310509 Coordination sequence Gal.5.142.1 where G.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. 0
1, 4, 10, 16, 21, 25, 30, 36, 42, 46, 50, 56, 62, 67, 71, 76, 82, 88, 92, 96, 102, 108, 113, 117, 122, 128, 134, 138, 142, 148, 154, 159, 163, 168, 174, 180, 184, 188, 194, 200, 205, 209, 214, 220, 226, 230, 234, 240, 246, 251 (list; graph; refs; listen; history; text; internal format)
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, Jan 24 2020: (Start)

a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

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

CROSSREFS

Sequence in context: A224024 A117111 A310508 * A310510 A310511 A310512

Adjacent sequences:  A310506 A310507 A310508 * A310510 A310511 A310512

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified October 6 12:35 EDT 2022. Contains 357264 sequences. (Running on oeis4.)